why does the limit not exist without mentioning derivative not existing f (x) – f(a)limx – aAs we know, limits do not always exist. Here are some examples of functions that arenot differentiable at the point x = 1. For each, explain, why the limit above does notexist. Don't explain by saying the derivative doesn't exist - that's circular!1.81.71.61.51.41.31.21.1-1-0.50.511.522.5(a)1.5 Thu Sep 309780501.50.5-0.5-1-2-1(b)23

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Calculus

does the limit not exist

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.CR: Chapter 3 Review

Problem 12CR: Determine whether each of the following statements is true or false and explain why. The derivative...

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Question

why does the limit not exist without mentioning derivative not existing

f (x) – f(a)
lim
x – a
As we know, limits do not always exist. Here are some examples of functions that are
not differentiable at the point x = 1. For each, explain, why the limit above does not
exist. Don't explain by saying the derivative doesn't exist - that's circular!
1.8
1.7
1.6
1.5
1.4
1.3
1.2
1.1
-1
-0.5
0.5
1
1.5
2
2.5
(a)
1.5

Thu Sep 30
97
80
50
1.5
0.5
-0.5
-1
-2
-1
(b)
2
3

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