Question

Use the binomial series to find the power series representation of the function.
f(x) = (1 − x)3/5

Answer 1

Do you mean\[f(x)=\frac{(1-x)^3}{5}\]?

Answer 2

no I mean (1-x)^(3/5)

Answer 3

Anyone??

Answer 4

Sorry, I'm being pulled in several directions. I can have a look a bit later and if no one's done anything, I'll see what I can do.

Answer 5

\[f(x) = (1-x)^{3/5}\]

Answer 6

ok thanks

Answer 7

You can use the binomial series for (1+x)^k. This can be found in most calculus books or at http://tutorial.math.lamar.edu/Classes/CalcII/BinomialSeries.aspx
Then substitute -x in for x.