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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)=(x0.5-1)/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.