Need help finding the partial sum Consider the function ln(1+5x). Write a partial sum for the power series which represents this function consisting of the first 5 nonzero terms. For example, if the...

Need help finding the partial sum

Consider the function ln(1+5x).


Write a partial sum for the power series which represents this function consisting of the first 5 nonzero terms. For example, if the series were ∑∞n=03nx2n∑n=0∞3nx2n, you would write 1+3x2+32x4+33x6+34x81+3x2+32x4+33x6+34x8. Also indicate the radius of convergence.


Partial Sum:
Radius of Convergence: 1/5