(a) Starting from cos1 and integration over the range [0,x] establish that x sinxx. By integrating...

Transcribed Image Text:

(a) Starting from cos≤1 and integration over the range [0,x] establish that x² sinx≤x. By integrating this inequality again show that cos.x ≥1-- By 2 (b) Use these results and the integrating once more establish that sinx> x== x³ 6 sin x squeeze theorem to prove that lim- =1. x→0 X (a) Starting from cos≤1 and integration over the range [0,x] establish that x² sinx≤x. By integrating this inequality again show that cos.x ≥1-- By 2 (b) Use these results and the integrating once more establish that sinx> x== x³ 6 sin x squeeze theorem to prove that lim- =1. x→0 X

Answer rating: 100% (QA)

The detailed ... View the full answer