Answered: Let f: R→R be a function such that…

Let f: R→R be a function such that |f(x)| >M for a fixed positive number M for all x E R. ( f(x)` does not Show that lim

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.

Chapter5: Graphs And The Derivative

Section5.3: Higher Derivatives, Concavity, And The Second Derivative Test

Problem 61E

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Concept explainers

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.

Question

Let f: R→R be a function such
that |f(x)| >M for a fixed positive
number M for all x ER.
f(x)
Show that lim
3.
does not
exist.

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$Limits and Continuity$

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