a – 3,for a < -1a? + 5, for – 1< a <1for a >1f(2) =7- 2.lim f(r) =I-1lim f(x) =Z-1+lim f(x) =I-1lim f(x) =f(-1) =

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Answered: I - 3, for a <-1 2² + 5, for – 11 lim…

Math

Calculus

I - 3, for a <-1 2² + 5, for – 11 lim f(z) = -1 lim f(z) = -1+ lim f(z) = -1 lim f(z) = f(-1) =

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.5: Graphs Of Functions

Problem 50E

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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

a – 3,
for a < -1
a? + 5, for – 1< a <1
for a >1
f(2) =
7
- 2.
lim f(r) =
I-1
lim f(x) =
Z-1+
lim f(x) =
I-1
lim f(x) =
f(-1) =

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