Solve Advance Math questions with Concepts & Steps using Image or Text.

Prove that (2n+7) < (n+3)^2 for all n in N
Solve: lim x -> inf (x^2 / e^x)
Min no. of pulled socks to guarantee a pair of the same colour
Determine f_avg for f(x) = 8x - 3 + 5e^(2-x) on [0,2]