# How do I solve this Taylor Series problem?

Consider Taylor series for $f(x) = \frac{1}{x + 1}$ about $x_0 = 0$. If we use Taylor series to approximate $\frac{1}{1.01}$, how many terms in the Taylor series must be kept so that the absolute error is within $10^{-5}$?

If someone could walk me through this step-by-step, I would greatly appreciate it. Thanks in advance!

• You wrote "xnot = 0", but did you mean "x=0"? – John Doe May 18 '17 at 2:59
• I wanted to write a subscript 0 instead of the word "not", but didn't know how to. – isaacbernstein May 18 '17 at 3:01