Another Maclaurin Series Question...

[nolematterwhat]

I need to find a Maclaurin series for f(x) = x^3/ (x-2)^2

I'm supposed to be able to start with a known representation and make the appropriate substitutions/changes to get the desired representation.

The problem? That form doesn't look familiar to me. The closest I've got is 1/1-x but despite several attempts, I just can't get that to work out.

Any ideas?

 

[royhaas]

Try using the expansion for \(\displaystyle 1/(1-x/2)\) as a starting point. Then either square it or take the derivative.