The function fis defined by fixe*-1-x (i) Find the minimum value of f. (ii) Prove that...

Transcribed Image Text:

The function fis defined by fixe*-1-x (i) Find the minimum value of f. (ii) Prove that e* ≥ 1 + x for all real values of x. Use the principle of mathematical induction to prove that (1¹+Y)(1+2)(+)... +¬)=n+1 n for all integers n ≥ 1. Use the results of parts (a) and (b) to prove that 1 1 (1+-+-++. 23 e n > n. The function fis defined by fixe*-1-x (i) Find the minimum value of f. (ii) Prove that e* ≥ 1 + x for all real values of x. Use the principle of mathematical induction to prove that (1¹+Y)(1+2)(+)... +¬)=n+1 n for all integers n ≥ 1. Use the results of parts (a) and (b) to prove that 1 1 (1+-+-++. 23 e n > n.

Answer rating: 100% (QA)

sov C use the results of Parts a and b to prove that e 112 13 11 results a To prove that exzx xx We ... View the full answer