Theorem 3.2.10. Let ICR be an open interval, let e e 1, let f,g:1-{c} -R befunctions and let k ER. Suppose that lim f(x) and limg(x) exist.1. lim [f+g](x) exists and lim[f+g](x) = lim f(x) + lim g(x).2. lim [f-g](x) exists and lim[f-g](x) = lim f(x)– limg(x).3. lim k f1(x) exists and lim k f1(x) = klim f(x).4. lim [fg](x) exists and lim[fg](x) = [lim f(x) [limg(x)).lim f()5. If limg(x) # 0, then lim [4 (x) exists and lim(x) = im )Prove above theorem.

Answered: Image /qna-images/answer/5aba045f-5e94-4991-ad59-cbd4ec59db5b.jpg

Answered: Theorem 3.2.10. Let ICR be an open…

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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