Calc BC Ch 8
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Last updated 12:45 AM on 3/5/23
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14 Terms
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Taylor Polynomial
Exponent matches factorial
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Find values of x for which the series converges
\-1 < x < 1 ( DIVERGES \[ CONVERGES
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Maclaurin Series lnx
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Maclaurin Series e^x
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Maclaruin Series sinx
odd exponents/factorials
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Maclaurin Series cosx
even exponents/factorials
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nth term
n^x
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nth term
≠ 0… diverge
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geo
x^n
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geo
|fraction| < 1… converge
|fraction| ≥ 1… diverge
|fraction| ≥ 1… diverge
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p series
1/n^x
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p series
exponent > 1… converge
exponent ≤ 1… diverge
exponent ≤ 1… diverge
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ratio
n, x^n, and factorials… do fun a(n+1) reciprocal stuff!!
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ratio
L < 1… converge
L > 1… diverge
L > 1… diverge
