Please please explain in detail Problem 1. Define-1 < x < 1.h(x) =={o.|x ≥ 1.(1) Prove that h'(1) exists and equals 0. Therefore conclude that h' e C(R). Here,Cº (R) = {f: R→ Rf is continuous and bounded on R}.(2) Let k> 1 be an arbitrary given integer. Prove that h(k) (1) exists and equals 0. Concludethat h() = C(R) for any k € N.

(1) Define hx=e-11-x2, -1<x<10, x≥1. From above, we have h1=0. By the…

Answered: Problem 1. Define h(x) = {& -1 < x < 1.…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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