3. Determine the value of k for which the function will have a limit on (-00,00).x+2x< 32f (x) =-3.12 – kxx2 33

Given function is : fx=x+22 , x<312-kx3 , x≥3 To find the value of k.

Answered: 3. Determine the value of k for which…

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Calculus

3. Determine the value of k for which the function will have a limit on (-∞,). x+2 x<3 2 f(x) = 3. 12 – kx r23 3

Algebra: Structure And Method, Book 1

(REV)00th Edition

ISBN:9780395977224

Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Chapter11: Rational And Irrational Numbers

Section: Chapter Questions

Problem 23CLR

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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

3. Determine the value of k for which the function will have a limit on (-00,00).
x+2
x< 3
2
f (x) =-
3.
12 – kx
x2 3
3

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