Part b
Express the Maclaurin series expansion from part (a) using summation notation and the generalized binomial coefficient. Define the generalized binomial coefficient used.
Extended Binomial Theorem with Negative and Fractional Indices
Consider the generalized binomial theorem which extends the standard binomial expansion to any real exponent n. (a) Outline the derivation of the binomial expansion for \((1+x)^n\) when \(n\) is not an integer. In your outline, include the definition of generalized binomial coefficients and explain why an infinite series is used. (b) Using your derivation from […]