Thread: How do you prove a taylor series like this?

Originally Posted by oleholeh

Start from the formula for calculating a Taylor series (in fact, what you have here is a special case - the Maclaurin series). Where are you stuck in applying it?

what's the formula? could you link me to one please? (i can't seem to find it)

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.

Originally Posted by oleholeh

what's the formula? could you link me to one please? (i can't seem to find it)

Sorry, but this is a lazy question. If you are attempting questions that require the formula, then surely it is in your class notes or textbook - I suggest you look harder. Alternatively, surely you can use Google.