For small values of k and δ, compare approximations to the integral of the chi-square density near zero,                       # b a (2π)−1/2 e−x/2 x−1/2 dx, for the following cases: a = 0 and b =...

For small values of k and δ, compare approximations to the integral of the chi-square density near zero,

                      # b a (2π)−1/2 e−x/2 x−1/2 dx,

for the following cases: a = 0 and b = δ/2; a = δ/2 and b = 3δ/2; and the general case a = δ  k − 1 2  and b = δ  k + 1 2  . Use various approximations for e−x/2 for x near zero.