Hello everyone, I have 2 questions to ask that are probebly very simple to all of you. But I Do not understand them. Any help would be appreciated at all! Thanks in advance.

Question 1:

How do you find the exact sum of a Taylor series?

For example,

hint ... $\displaystyle \textcolor{red}{e^x = 1 + x + \frac{x^2}{2!} + \frac{x^3}{3!} + ...}$

what if x = 4?
Question 2:

How would you solve for the EXACT value of x in a Taylor series?

For example,

-x^2 - ((x^3)/2) -((x^4)/3)-((x^5)/4)..... = [x ^ (n+1)] / n = x/3

huh?