Problem 2: For a positive integer rt E N, we have the wellknown binominal expansion formula 1'1 I'll. 1 TI. (1 + x)\" = 2:3pr = 2141 p p! (n p)! p=n p=n If one uses the Gamma function, we could write it as an innite series below: on For + 1] 0+1)\": P x p_ ['[p + 1]['I[n p + 1) {a} Using the properties of' l[Cilannna function verify above equation is true for some positive integer n E N. {b} In fact this generalization is also true for any.r n E IR. provided that III it 1. Check a special case n = 1 explicitlyr using the property of Gamma function