Question

Find the Taylor series about the indicated center
and determine the interval of convergence.

Answer 1

f (x) = ln x, (center) c = e

Answer 2

Do oyu what the general formular of a taylor series is?

Answer 3

\[\sum_{k=0}^{\infty}\frac{ f ^{(k)}(c) }{ k! }(x-c)^k\]

Answer 4

Exactly. So find f'(k), f''(k),f'''(k). Then plug in your center c for this values