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# 3.E: Questions Concerning Power Series (Exercises)

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## Q1

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

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

3.E: Questions Concerning Power Series (Exercises) is shared under a CC BY-NC-SA 4.0 license and was authored, remixed, and/or curated by Eugene Boman and Robert Rogers (OpenSUNY) via source content that was edited to conform to the style and standards of the LibreTexts platform; a detailed edit history is available upon request.