It's called the Cauchy product and it's not that clever.
Just start multiplying the two infinite sums.
Ln(1)=0, by the way.
I need help on the following question:
1) Obtain the Maclaurin Series for and . Hence obtain by multiplication the Maclaurin series for giving the first three terms.
I have worked out the series for the and by themselves.
I then tried to multiple the values together, but was unsuccessful.
So if you want only the first three terms, itís a simple case of multiplying multinomials at this point. Evaluate the multiplication:
and take the first three terms.
If, on the other hand, you want an expression for the Maclaurin series of , you could multiply together the individual series: