Assuming that each input brach of an M-antenna selection combining system has equal SNR, γ, the output SNR was found to be

γSC = γ∑ᴹᵢ₌₁ 1/i.

Using the result derived in class that γSC = ₀∫[infinity] 1−[1−e−ˣ/γ]ᴹdx
show that Eq.(1) holds for M=2 and M=3.