Hi

I need help on the following question:

1) Obtain the Maclaurin Series for $\displaystyle e^x$ and $\displaystyle ln(1+x)$. Hence obtain by multiplication the Maclaurin series for $\displaystyle e^{x}ln(1+x)$ giving the first three terms.

I have worked out the series for the$\displaystyle e^{x}$ and $\displaystyle ln(1+x)$ by themselves.

I then tried to multiple the values together, but was unsuccessful.

$\displaystyle e^{x}$ series is:

$\displaystyle 1 + x + \frac{x^2}{2} + \frac{x^3}{6}$

$\displaystyle ln(1+x)$ series is:

$\displaystyle ln(1) + x - \frac{x^2}{2} + \frac{2x^3}{6}$

P.S