|2x–1|-|2x+1| f (x) : (a) Find the domain and the range of f. (b) Does the limit lim -0 f (x) exist.? If the limit exists, find its value. If not, show how the limit fails to exist. (c) Do the limits lim, x→∞ f (x) and lim f (x) exist? x→-∞ (d) Find the values of x (within the domain of this function) at which f' (x) is undefined. Show how the derivative fails to exist at these values of x. Use the limit definition.
|2x–1|-|2x+1| f (x) : (a) Find the domain and the range of f. (b) Does the limit lim -0 f (x) exist.? If the limit exists, find its value. If not, show how the limit fails to exist. (c) Do the limits lim, x→∞ f (x) and lim f (x) exist? x→-∞ (d) Find the values of x (within the domain of this function) at which f' (x) is undefined. Show how the derivative fails to exist at these values of x. Use the limit definition.
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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