Power series expansion!!

**mr_motivator** · February 5th 2009, 07:55 PM

Given that the power series expansion of

begins

, find the first three terms in the power series expansion of

.

**Jhevon** · February 5th 2009, 10:14 PM

Originally Posted by mr_motivator

Given that the power series expansion of

begins

, find the first three terms in the power series expansion of

.

Hint: we can integrate power series term by term. what the problem asks for is $\int_0^t f(x)~dx = \int_0^t (1 - 3x + 9x^2 -+ \cdots )~dx$

Thread: Power series expansion!!