Find the 4th term of the Taylor series centerd at x=1 for f(x)=ln(x+1)(adsbygoogle = window.adsbygoogle || []).push({});

f(x)=ln(1=x)

f'(x)=(1+x)^-1

f"(x)=(-1)[(1+x)^-2]

f"'(x)=(2)[(1+x)^-3]

f""(x)=-6[(1+x)^-4)]

Plug in 1:

.6931

.5

-.25

.25

-.375

What do I do next? (Also, is the 4th term the 4th term starting with f(x)? or the 4th derivative?)

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# Taylor Series

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