Answered: 1. If limit of f(x) -8/x-1=10 as x…

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1. If limit of f(x) -8/x-1=10 as x approaches 1, find limit of f(x) approaches 1

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.

Chapter6: Applications Of The Derivative

Section6.CR: Chapter 6 Review

Problem 1CR

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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

1. If limit of f(x) -8/x-1=10 as x approaches 1, find limit of f(x) approaches 1

2. If limit of f(x)/x^2 = 5 , find the following limts,

a) limit of f(x) as x approaches 0 and b) limit of f(x)/x as x approaches 0.

3. Show by means of an example that limit of ( f(x) +g(x) ) as x approaches zero may exist even though neither limit of f(x) approaches a nor limit of g(x) exists as x approaches a

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