3.E: Questions Concerning Power Series (Exercises)

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May 28, 2022
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- 3.2: Series Anomalies
- 4: Convergence of Sequences and Series

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Q1

Use Taylor’s formula to find the Taylor series of the given function expanded about the given point $a$ .

$f(x) = \ln(1 + x),\; a = 0$
$f(x) = e^x,\; a = -1$
$f(x) = x^3 + x^2 + x + 1,\; a = 0$
$f(x) = x^3 + x^2 + x + 1,\; a = 1$

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