Exercise II: Gamma function For s 2 1, define too T(s) = le adx. This defines a function of s called the Gamma function (I is the capital Greek letter gamma). 1. Compute T(1). 2. Compute T(2). 3. For s _ 1, show that I(s + 1) = sT(s). 4. Deduce the value of I(3) and I(4). 5. More generally, give a formula for I(n) when n = 1, 2, 3