Question: We see that the first term does not fit a pattern, but we also see that f(k)(1)= forkgeq1.Hence we see that the Taylor series for

We see that the first term does not fit a pattern, but we also see that f(k)(1)= forkgeq1.Hence we see that the Taylor series for f centered at1is given byf(x)=13+?displaystylek=1 (x-1)k.

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