Q.No 3.)if xs-1Let f(x)={ax+ Bif -1< x<1x² +2if x21Find a and B, so that lim f(x) and lim f (x) exist.X→ー1メー→」

Given that, Consider, limx→-1-f(x) = limx→-1- x3 = (-1)3 = -1 limx→-1+f(x) = limx→-1+ (αx+β)=…

Answered: Q.No 3.) if x<-1 Let f(x)={ax+ B if…

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Calculus

Q.No 3.) if x<-1 Let f(x)={ax+ B if -13x<1 x² +2 if x21 Find a and B, so that lim f(x) and lim f (x)exist. X-1

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter8: Polynomials

Section8.3: Factorization In F [x]

Problem 24E

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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

Q.No 3.)
if xs-1
Let f(x)={ax+ B
if -1< x<1
x² +2
if x21
Find a and B, so that lim f(x) and lim f (x) exist.
X→ー1
メー→」

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