Does each series conv=
erge or
diverge? Why?
=
1. ![](3D"Converge_files/image002.gif")
=
2. ![](3D"Converge_files/image004.gif")
=
3. ![](3D"Converge_files/image006.gif")
=
4. ![](3D"Converge_files/image008.gif")
=
5. ![](3D"Converge_files/image010.gif")
Does each series conv=
erge or
diverge? Why?
=
6. Diverges. Harmonic series. Remember this one! You can also use the integral test,
Section 10.5.
=
7. Diverges. Geometric series with r=3D2. Since |r|>=3D1, diverges.
=
8. Diverges by the n-th te=
rm
test. Since ![](3D"Converge_files/image012.gif")
(in fact the
limit is 1), we conclude it diverges.
=
9. Geome=
tric
with r=3Dx/2. Convergence or
divergence depends on the value of =
x. It will converge for |x/2|<1, in other words for -2&l=
t;x<2. It diverges for all other values o=
f x.
More on this topic in Section 10.8 and 10.9. It is called a “power
series” because it involves powers of x.
=
10. =
None =
of the
tests we’ve learned so far help us with this series. In fact it converges. The ratio test from Section 10.7 w=
ill
show us that it converges.
------=_NextPart_01C6ED23.C37179F0
Content-Location: file:///C:/A3945545/Converge_files/image001.wmz
Content-Transfer-Encoding: base64
Content-Type: image/x-wmz
H4sIAAAAAAACC7t+9tgsBjBwYHZgYeQEsQQiGRmADObpjECCQQYsywrEnEwwFhMjI5TFyPT//38w
S49RAirGDVfHw+TA4sAsBGSpsfEzSDH8BylmEADyDwBZG0E8ZgaGj0DMDVXDw+CbWJIRUlmQysDw
gIEDKPqLCaIDBFiAWJcRYrYIkwITNxOIJQxk/WQCufM304G/EJUTQA5kAkKB4MrcpPwcBgZDHi7/
BR+FGHYs+Vx+EIgVDL6WP2NP+wwxkxFslxHXTSZzBpDWp5UQ8xT+4zKvi4srBbd5TGC3foCb+4th
I9jcpZUQ/nvmu2C+LTZ7GFiA9oRk5qYWK/illisE5ecm5uF0N8QeJgaYuT7guDGEmtvwjzxz0d3f
x6jEhGwuwr2MFLo3HhwOeRjuZaTIvWuYVZkg5nJBUxYXOPWBg4EBYpcAAzuYtwecXhmZmJSCK4tL
UnMZPoPMZQDqUGToAmsAEXs+CzGg+4EZrB8AgmRfzkQDAAA=
------=_NextPart_01C6ED23.C37179F0
Content-Location: file:///C:/A3945545/Converge_files/image002.gif
Content-Transfer-Encoding: base64
Content-Type: image/gif
R0lGODlhIwAtAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAIABQAe
ACUAgwAAAAAAAAYFBQoICQgHBwsJCgMDAwUEBAsKCgkHCAcGBgwKCwkICAECAwECAwECAwSfEMhJ
q6XhypC5rlymddsHfiQgmiUashgsx/O81uyNo5QQ/kAPrxcYfHwuHSFA0BR0smXzApUNAoId65rV
fgqGA8KrQQQK5EvCmK4Mpqbgr4JQtC2CxZ2iQO8lax8LBjhvJgx2M3WCDAEJNQdyQWwwCpJBfn8u
G1VaJJ07QqAWQiAio1SpLRMenVArKaylJ7Qqryq2L7g4KUCrNrZUsyYRADs=
------=_NextPart_01C6ED23.C37179F0
Content-Location: file:///C:/A3945545/Converge_files/image003.wmz
Content-Transfer-Encoding: base64
Content-Type: image/x-wmz
H4sIAAAAAAACC7t+9tgsBjA4wOzAwsgJYk2IZGQAMphjGRkYmBhkwLKsQMzJBGMxMTJCWYxM////
B7P0GCWgYtxwdTxMDiwHmIWALDU2fgYphv8gxQwCINuArI1A3MDMwPARiLmhangYfBNLMkIqC1IZ
GB6A7f7NdOAvxIUTQJYyAaFAcGVuUn4OA8MvFq5/Cz4KMexY8rn8IBArGHwtr+BI+88CVKgLVM0B
pI24bjKZM4C0Pq2EmKfwH5d5pzm5qnCbx8gAoj/Azf3FsBFs7tJKCP898ykw3xabPQwsQHtCMnNT
ixX8UssVgvJzE/NwuhtiDyMDzFw/cHgbQM1t+Eeeuejub2BiZQIZYYThXkYK3esDDoc8aLhcYXzA
BOFzQWOZC5wSwM6HxrEAAzuYtwecdhiZmJSCK4tLUnMZ/oPsYQDqUGToAmsAEXs+CzGg+4kZrB8A
Je3MTtACAAA=
------=_NextPart_01C6ED23.C37179F0
Content-Location: file:///C:/A3945545/Converge_files/image004.gif
Content-Transfer-Encoding: base64
Content-Type: image/gif
R0lGODlhKAAtAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAIABgAh
ACQAgwAAAAAAAAYFBQoICQgHBwsJCgMDAwUEBAsKCgkHCAcGBgwKCwkICAECAwECAwECAwSaEEgZ
Aqgz682ntVcnjh81nlyFoWzrvnAsz6Og3viKYpY9iDaXSkIIEDoFkGaYKRGNHaVnapICBgFBSwr6
WLFamJVTMBwQrzEHESgIW4nftjU4zlkIxbslWNxNIgpuWzgicSILBjJ1Iwx6MHmIDAEJMQc5mHIu
CpiYgzSgoaKjO2qhXTE8KYBiOk2saSGFqGIhFze2piS3UboiEQA7
------=_NextPart_01C6ED23.C37179F0
Content-Location: file:///C:/A3945545/Converge_files/image005.wmz
Content-Transfer-Encoding: base64
Content-Type: image/x-wmz
H4sIAAAAAAACC7t+9tgsBjBQYEtgYeQEsQJiGBmADObXjECCQQYsywrEnEwwFhMjI5TFyPT//38w
S49RAirGDVfHw5TAosAmBGSpsfEzSDH8BylmEADyDwBZK4D4AVAZBwtQD1QND4NvYklGSGVBKgPD
AwYOoOgvJogOEAAqZNBlhJgtwuTAxMEEYgkDWfdZQe78zXTgL0TlBJADmYBQILgyNyk/h4HBiJWr
WuetEMOOJZ/LDwKxgsHX8iqBNC6ImYxgu4y4fjKZM4C0Pq2EmKfwH5d5E1m4puA2jwns1g9wc6UY
N4LNXVoJ4fOznADzbaH2NPzD4+4afO6G2MMEtecisw4zyAhtqD3rGYVZQHxdbP5hYAHaE5KZm1qs
4JdarhCUn5uYR6R/+Fn8wWnACGqPKrMOKzKfmVGLGcLH4j8S7EX333pGVrA9hhj+YaTQP97g+MjD
cC8jRe69yOzLAjEXxldiQuavZ/SG8rmgOYALnEvAwcQAcYsAAzuYtwecrxiZmJSCK4tLUnMZuED2
MgB1KDJ0gTWAFHi8F2JA9yMzWD8A3S/0wewDAAA=
------=_NextPart_01C6ED23.C37179F0
Content-Location: file:///C:/A3945545/Converge_files/image006.gif
Content-Transfer-Encoding: base64
Content-Type: image/gif
R0lGODlhQQAvAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAIABAA8
ACgAgwAAAAAAAAYFBQoICQgHBwsJCgMDAwUEBAsKCgkHCAcGBgwKCwkICAECAwECAwECAwT5EMhJ
q701BMy7/9cGiGBpmuSprhmbZpvGtqr2UrF0n/m66yPgzPbzFEc2kAw5sxx9wSeqGRJJiUQnFSbc
dr0k6XQiwJqTWqBYWSkPOOXQZAmmSwgBAqaw9nbwenJ+WwMBAoOIFYWHiY0FBgcIjYkIAQWTiAlv
HWednp9mFgOBmF4ICqWDAgupJXYUCpetH1YWmhwLBrM0E6MdDKi7cxSnuAwBCcJfAAegGptQPEES
Cs4astGuaFtLr8NVOn01URhFOeI8tXOdXNNDO90cP/FN6jjfgmnu5T3lvP287qkx4k0gvoLLuiC8
FyNLQmUDkaABCFENvG0VAUQAADs=
------=_NextPart_01C6ED23.C37179F0
Content-Location: file:///C:/A3945545/Converge_files/image007.wmz
Content-Transfer-Encoding: base64
Content-Type: image/x-wmz
H4sIAAAAAAACC7t+9tgsBghgSWBh4gQxiuMYGYAM5uWMQIJBBizJCsScTDAWEyMjlMXI9P//fzBL
j1ECKsYNV8fDlMDCwCIEZKmx8TNIMfwHKWYQAPIPAFkrgfgAM9BcFqAeqBoeBt/EkoyQyoJUBoYH
DBxA0V9MEB1gJwKxLiPEbBEmByZuJhBLGMjazwxy52+mA38hKieAHMgEhALBlblJ+TkMDPbcXCsW
fBRi2LHkc/lBIFYw+FouzZV2F2ImI9guI66fTOYMIK1PKyHmKfzHZZ4hD9dL3OYxgd36AW6uFONG
sLlLKyF8fpZTYL4tNnsYWID2hGTmphYr+KWWKwTl5ybm4XQ3xB4mBpi5fuC4MYCa2/CPPHPR3X+Z
WYMJZIQRhnsZKXSvDzgc8qDhos7MzIzMZ2Jkg/LR/cNIkX/WMZqD/VNRyQVNeVzg1AkOJgaIXQIM
7GDeHnB6ZmRiUgquLC5JzWW4CzKXAahDkaELrAFE7PksxIDuR2awfgDqiu3CZAMAAA==
------=_NextPart_01C6ED23.C37179F0
Content-Location: file:///C:/A3945545/Converge_files/image008.gif
Content-Transfer-Encoding: base64
Content-Type: image/gif
R0lGODlhKwAvAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAIABgAm
ACYAgwAAAAAAAAYFBQoICQgHBwsJCgMDAwUEBAsKCgkHCAcGBgwKCwkICAECAwECAwECAwS0EMhJ
q70zBLCx/5fWWRo3gth2Uqq0ohnntTJMmrMI66Xts6+fLSjcFYs0j0DEbPZutc9yoAz2nh5CgIAp
EItabuiIGQQE5J8ZnbYVDAdEG4YIFOaoBPXj7DctA2J4HggKgyACC4ceCneLF3oeCwZDSROBHwyG
JFgmK4WSDAEJUFEyKwd+TXssracVCqpNjjMuOI+2uKW6MXidrnMdVj4lw6a5yDnGL04oNM3HSFHQ
X0O3nHMRADs=
------=_NextPart_01C6ED23.C37179F0
Content-Location: file:///C:/A3945545/Converge_files/image009.wmz
Content-Transfer-Encoding: base64
Content-Type: image/x-wmz
H4sIAAAAAAACC7t+9tgsBghgSWBh4gQxiuMYGYAM5uWMQIJBBizJCsScTDAWEyMjlMXI9P//fzBL
j1ECKsYNV8fDlMDCwCIEZKmx8TNIMfwHKWYQAPIPAFkrgfgAM9BcFqAeqBoeBt/EkoyQyoJUBoYH
DBxA0V9MEB1gJwKxLiPEbBEmByZuJhBLGMjayQxy52+mA38hKieAHMgEhALBlblJ+TlAX7FyzVrw
UYhhx5LP5QeBWMHga/k6jrStEDMZwXYZcf1kMmcAaX1aCTFP4T8u85o4uCRwm8cEdusHuLlSjBvB
5i6thPD5WU6B+bbY7GFgAdoTkpmbWqzgl1quEJSfm5iH090Qe5gYYOb6gePGAGpuwz/yzEV3/xlm
fmaQEYpQ969jVGUC8Y0w3M9Ioft9wOGSB7UHaAkzhI/uH0YK/ZPOBDGXC5ryuMCpExxMDBC7BBjY
wbw94PTMyMSkFFxZXJKay7AVZC4DUIciQxdYA4jY81mIAd1PzGD9ABlgnehkAwAA
------=_NextPart_01C6ED23.C37179F0
Content-Location: file:///C:/A3945545/Converge_files/image010.gif
Content-Transfer-Encoding: base64
Content-Type: image/gif
R0lGODlhKwAvAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAIABgAm
ACYAgwAAAAAAAAYFBQoICQgHBwsJCgMDAwUEBAsKCgkHCAcGBgwKCwkICAECAwECAwECAwS4EMhJ
q70yBLCx91o3heCmfdlImSCXfqLrxhYro+pMV+GO+rjgSki8AIu4IxImFPSeT+Pw4xx4nMYoihAg
YArKItcrXWIGAYEZiVaviQXDAfEWIgKFejBhhUH/PRYDZHofCAqFOAILiR8KeY0YfB4LBoWDHwyI
RTSHlAwBCUg0B4BPfUQxCqZPkKmRGR0nN5EssrCxL2E1SrMiu1NHvzkjNjwvNSrCs8e0UxzDx7Ja
wEy/1HomQMxrEQA7
------=_NextPart_01C6ED23.C37179F0
Content-Location: file:///C:/A3945545/Converge_files/image011.wmz
Content-Transfer-Encoding: base64
Content-Type: image/x-wmz
H4sIAAAAAAACC6VTv0sCURz/vu9TO0+jwxoiQq6GGsJQl5aCaK6GdA+Diw48DRTkoMGlpaWmBicH
G2pwrUDIlsAhKBz8NwppKeh6P84jTYfqHe/x+dz7fr+f97n3vc7jQwXkCOo+CHKQSBEO6BNhC8yK
TT8PwB5CQlxE0HEcgZbJtPsu5MWFkdeMMLQQmIAZcHgwaIw3Gbpks6kAtCjLcWPCsJUpHqTtQ4PF
ANuEd5QZfPjYjBFZewrX8Qg5mmRoN8DP+YHlTxl5RkQ8gpY2LaOgbxslfSdvZXJwU+uW7tnU42+l
ldB+VNYkQiupVlFReGrclrxOjv2cJ+ygu7/KvglAllWVirrzN0UUbl485UV6JZSSpuRIqlTyIc6Q
PVrKtvbyWQBHUTvV18hIZ1IHPYfPAV7i1tVp05rQWTJ7jk99nMfMIf76dDfH1Y3RuoP+yrQiuubC
7PFr4Lz+wx/55c31+2vTljh/zvN3jt95ndy5fNAf+df9lekayLqq28uq6HfRFiC1NBgTrCH+EII4
n7ILRcOCKK8LLGMOTkQCXxrdCAx6pCL/C3RNSdq2AwAA
------=_NextPart_01C6ED23.C37179F0
Content-Location: file:///C:/A3945545/Converge_files/image012.gif
Content-Transfer-Encoding: base64
Content-Type: image/gif
R0lGODlhYAAsAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAMABABa
ACUAgAAAAAAAAALihI+pyxDRopy02gPd3bz37IXiqH3kyYHXo6JuA7WW/NYGS1O5nWaPu+NtYqVT
UDjz6XAsxRE5+RWNUBHouap6rtMRdngLXb9LMsxn1vKUXbU7jGm/azQVsRRDz7cMu+bX5MC2J8EU
iODHxgVHWLGTCLcoZ0hZaXkp5RQBiRfH2NhHqRmn6CkHmvCkZCmYl0aSCbOE6vhJ+/Z6C6s7l1t4
h0gH5rsZ6wlIbIZjQ1T5Zyt4kzOtBwWcGjYYfB3c92wdjY1xmKrNiqjNGwptWs6uLn56Kgm/wDVt
T1rvLS07Gg6lAAA7
------=_NextPart_01C6ED23.C37179F0
Content-Location: file:///C:/A3945545/Converge_files/oledata.mso
Content-Transfer-Encoding: base64
Content-Type: application/x-mso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------=_NextPart_01C6ED23.C37179F0
Content-Location: file:///C:/A3945545/Converge_files/filelist.xml
Content-Transfer-Encoding: quoted-printable
Content-Type: text/xml; charset="utf-8"