Complete your choice of one of the proofs given below. PROOF…
Complete your choice of one of the proofs given below. PROOF 1: Prove the following statement using a proof by cases. “For all positive integers n with 2 ≤ n ≤ 4, n!/2 ≤ n2+1.” Use good proof technique. Grading rubric:1 pt. State any givens and assumptions.3 pt. Clearly identify the cases and prove each case.1 pt. State the final conclusion at the end of the proof. Note: Remember that n factorial, written as n!, is defined as n(n-1)…(2)1, the product of n times every positive integer less than n. To avoid the need for typing superscript exponents, you may use the expression ‘2^n’ to represent 2n. Also the ≤ symbol can be written as