Evaluate the limits of the following functions. Show your complete solution. 3. If f(x) = {x -1, if x < 3lx + 5, if x 2 33. If f (x) =3.a) lim f(x)x-33.b) lim f (x)x-13.c) lim f(x)x + 2,4. If g(x) = }V16 – x²x< -4- 4 44 - x4.a) lim g(x)X--44.b) lim g(x)x+44.c) lim g(x)x-0

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(x² – 1, if x < 3 lx+5, if x > 3 3. If f(x) = 3.a) lim f(x) 3.b) lim f(x) 3.c) lim f (x) x-3 x-1

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter4: Polynomial And Rational Functions

Section4.5: Rational Functions

Problem 7E

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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

Evaluate the limits of the following functions. Show your complete solution.

3. If f(x) = {x -1, if x < 3
lx + 5, if x 2 3
3. If f (x) =
3.a) lim f(x)
x-3
3.b) lim f (x)
x-1
3.c) lim f(x)
x + 2,
4. If g(x) = }V16 – x²
x< -4
- 4<x< 4
x > 4
4 - x
4.a) lim g(x)
X--4
4.b) lim g(x)
x+4
4.c) lim g(x)
x-0

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