find the limit (if it exists). If it does not exist,explain why. Only 15-18 x + 2x < 3215. lim f(x), where f(x)x→3122xx > 316. lim f(x), where f(x)4х + 6,x < 2x→2x² + 4x – 2,x > 217. lim f(x), where f(x)x3 + 1,х< 1x + 1,x > 1x→118. lim f(x), where f(x)X,x < 1x→1+- x,x >

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Answered: x + 2 x < 3 lim f(x), where f(x) : %3D…

Math

Calculus

x + 2 x < 3 lim f(x), where f(x) : %3D x→3- 12 – 2x x > 3 3

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter3: Polynomial And Rational Functions

Section3.6: Rational Functions

Problem 2E

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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

find the limit (if it exists). If it does not exist, explain why. Only 15-18

x + 2
x < 3
2
15. lim f(x), where f(x)
x→3
12
2x
x > 3
16. lim f(x), where f(x)
4х + 6,
x < 2
x→2
x² + 4x – 2,
x > 2
17. lim f(x), where f(x)
x3 + 1,
х< 1
x + 1,
x > 1
x→1
18. lim f(x), where f(x)
X,
x < 1
x→1+
- x,
x >

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