|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 For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter3: The Derivative

Section3.2: Continuity

Problem 12E

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