The Taylor series centred about $\displaystyle x = c$ for the function $\displaystyle f(x)$ is
Moderator edit: Sorry, Prove It. The formula is deleted. If the OP is working on a question like this, then surely s/he has studied it at some stage ...... s/he can refer to the formula in class notes or textbook, or can use Google.
What value do you think $\displaystyle c$ is in this case?
Once you have found the Taylor series, then you need to find its interval of convergence.