Choose a single correct option from the given options and explain why the rest of the options are incorrect. Please find the question in the image attached. Iff(x) exists, thenlimr->a lg(x)(1) both lim f(x)and lim g(x) must exist(2) lim f(x) need not exist but lim g(x) exists(3) neither lim f(x) nor lim g(x) may exist2-d(4) lim f(x) exists but lim g(x) need not exist

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Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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Choose a single correct option from the given options and explain why the rest of the options are incorrect. Please find the question in the image attached.

If
f(x) exists, then
lim
r->a lg(x)
(1) both lim f(x)and lim g(x) must exist
(2) lim f(x) need not exist but lim g(x) exists
(3) neither lim f(x) nor lim g(x) may exist
2-d
(4) lim f(x) exists but lim g(x) need not exist

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