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## Homework Statement

Hi!

I have a couple of problems on Taylor Series Approximation.

For the following equations, write out the second-order Taylor‐series approximation.

Let x*=1 and, for x=2, calculate the true value of the function and the approximate value given by the Taylor series approximation.

f(x)=(x

^{0.5}-1)/0.5

f(x)=(x-1)

^{2}

## The Attempt at a Solution

I was able to do the approximation at x=1 for the first problem. However, for the second problem, the second derivative yields a constant meaning that I cannot plug in x=1. What should I do in this case?

I do not understand the following direction:

"for x=2, calculate the true value of the function and the approximate value given by the Taylor series approximation."

Please help.

P.S. I am sorry - I don't know how to paste formulas within this message, thus, I have to attach a Word document.