Write Taylor's formula [7.10] for n=2, f(x)=1/(1+x)
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Write Taylor's formula [7.10] for n=2, f(x)=1/(1+x)

[From: ] [author: ] [Date: 13-10-23] [Hit: ]
f(x)=2/(1+x)^3,f(x)=f(0) + xf(0) + (x²/2!......
Please Tomorrow is my test. I need help with this Taylor topic.

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f(0)=1,
f'(x)=-1/(1+x)^2, so f'(0)=-1,
f"(x)=2/(1+x)^3, so f"(0)=2

The Taylor (MacLaurin) series of order 2 is
f(x)=f(0) + xf'(0) + (x²/2!)f"(0)
= 1 - x + x²
1
keywords: for,039,Write,formula,7.10,Taylor,Write Taylor's formula [7.10] for n=2, f(x)=1/(1+x)
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