[I] True or false. If true, explain why. If false, give an example to show it is false: The value of lim f(x) does not exist if f (a) is undefined. 2] True or false. If true, explain why. If false, give an example to show it is false: If lim f(x)= L then lim f(x)=L also. 3] True or false. If true, explain why. If false, give an example to show it is false: If f(x) is continuous at x=4, then it is also differentiable at x=4.

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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Please help me answer these problems.  Thank you!

[I] True or false. If true, explain why. If false, give an example to show it is false: The value
of lim f(x) does not exist if f (a) is undefined.
[2] True or false. If true, explain why. If false, give an example to show it is false:
If lim f(x) = L then lim f(x)= L also.
Xa"
[3] True or false. If true, explain why. If false, give an example to show it is false:
If f(x) is continuous at x= 4, then it is also differentiable at x =
=D4.
Transcribed Image Text:[I] True or false. If true, explain why. If false, give an example to show it is false: The value of lim f(x) does not exist if f (a) is undefined. [2] True or false. If true, explain why. If false, give an example to show it is false: If lim f(x) = L then lim f(x)= L also. Xa" [3] True or false. If true, explain why. If false, give an example to show it is false: If f(x) is continuous at x= 4, then it is also differentiable at x = =D4.
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