Question

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Answer 1

first find the derivatives f'(x),f''(x),f'''(x) at c=4 then just use the taylor series expansion
\sum_{n=0} ^ {\infty} \frac {f^{(n)}(a)}{n!} \, (x-a)^{n}

Answer 2

http://en.wikipedia.org/wiki/Taylor_series

Answer 3

How would the Taylor Series expansion look like for this problem though

Answer 4

it is