Suppose you used the first three nonzero terms of the power series representation to approximate
for
.
Obtain an upper bound on the error.
All the terms, are negative, I think? The parentheses confused me. So: power series representation is
The approximation is found, I think, just by plugging in x=1/2, for which I got 0.71875.
Then use the Taylor Inequality...
, so do I set M=1/384?
I stopped here because I wasn't sure if my value for M was right...I have the feeling it's not. Any help would be great.