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CalculusInfinite Sequences

Calc BC Ch 8

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Calculus

Infinite Sequences

14 Terms

1
Taylor Polynomial
Exponent matches factorial
Exponent matches factorial
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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
odd exponents/factorials
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6
Maclaurin Series cosx
even exponents/factorials
even exponents/factorials
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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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