
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. $$f(x) = x^3 + x^2 + x + 1,\; a = 1$$

Contributor

• Eugene Boman (Pennsylvania State University) and Robert Rogers (SUNY Fredonia)