Calc BC Ch 8

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14 Terms

1

Taylor Polynomial

Exponent matches factorial

<p>Exponent matches factorial</p>
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2

Find values of x for which the series converges

-1 < x < 1 ( DIVERGES [ CONVERGES

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3

Maclaurin Series lnx

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4

Maclaurin Series e^x

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5

Maclaruin Series sinx

odd exponents/factorials

<p>odd exponents/factorials</p>
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6

Maclaurin Series cosx

even exponents/factorials

<p>even exponents/factorials</p>
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7

nth term

n^x

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8

nth term

≠ 0… diverge

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9

geo

x^n

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10

geo

|fraction| < 1… converge

|fraction| ≥ 1… diverge

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11

p series

1/n^x

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12

p series

exponent > 1… converge

exponent ≤ 1… diverge

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13

ratio

n, x^n, and factorials… do fun a(n+1) reciprocal stuff!!

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14

ratio

L < 1… converge

L > 1… diverge

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