MathCastle
Counting & ProbabilitySuperchallengeBinomial Theorem, Pascal & Combinatorial Identities

Binomial Theorem, Pascal & Combinatorial Identities · Superchallenge problem

Find the coefficient of x5x^5 in the power series expansion of 1+x1−x\sqrt{\dfrac{1+x}{1-x}} about x=0x=0. Express your answer as a common fraction.