1. (а) Find two functions f and g and a value c such that lim[f(x) +g(x)] exists, but lim f(x) and lim g(x) do not exist. (b) Find two functions f and g and a value c such that lim[f(x)·g(x)] exists, but lim f(x) and lim g(x) do not exist.

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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1. (a)
Find two functions f and g and a value c such that lim[f(x) +g(x)]
exists, but lim f(x) and lim g(x) do not exist.
(b)
Find two functions f and g and a value c such that lim[f(x) · g(x)]
exists, but lim f(x) and lim g(x) do not exist.
Transcribed Image Text:1. (a) Find two functions f and g and a value c such that lim[f(x) +g(x)] exists, but lim f(x) and lim g(x) do not exist. (b) Find two functions f and g and a value c such that lim[f(x) · g(x)] exists, but lim f(x) and lim g(x) do not exist.
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