1. (10 points)-Find the Taylor Series for f (x) = cos x centered at a = \frac{\pi}{4}. Use only four terms of
derivative for your calculations [ f (x), f'(x), f''(x), f'''(x), f''''(x) ]. Show the details of
your work for full credit.
2. (10 points)-Find the Maclaurin series for f (x) = cos x centered at a = 0. Use only four terms of
derivative for your calculations [ f (x), f'(x), f''(x), f'''(x), f''''(x) ]. Show the details of
your work for full credit.
3. (10 points)-Find the Taylor series for f (x) = ln (x) centered at x = 1. Use only four terms of
derivative for your calculations [ f (x), f'(x), f''(x), f'''(x), f''''(x) ]. Show the details of
your work for full credit.
4. (10 points)-Find the Maclaurin series for f (x) = e<sup>x</sup> centered at x = 0. Use only four terms of
derivative for your calculations [ f (x), f'(x), f''(x), f'''(x), f''''(x) ]. Show the details of
your work for full credit.
