Use the binomial series to find the Taylor series about 0 for the function

f(x) = (1 + x)−3/5,
giving all terms up to the one in x4.

I have the answer; f(x)=1-3/5(x) +12/25(x^2) -52/125(x^3) + 234/625(x^4)

but i am not sure how to work out the interval validity and Use this series and the Taylor series for sinx to find the quartic Taylor polynomial about 0 for the function
f(x) = (sinx)/(1+x)^3/5

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