How do I tell if it’s continuous -10 -9 -8 -7 -6 -5 -4 -3 2 -111 2 3 4 5 6 7 8 9 10-4-6lim f(x) =4 b) lim f(x) =6 fn lim f(x) = | 8) lim f(x) = /a)%3DX-3+x-5-x→5+c) lim f (x) =DNE0) F(3) = |h) lim f(x) =| o(5) = DNEh) lim f(x) = | )f(5) = DNEx-3x-5e) Is f(x) continuous at x = 3?Is f continuous at x = 5?

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Answered: How do I tell if it’s continuous

Math

Calculus

How do I tell if it’s continuous

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter4: Polynomial And Rational Functions

Section4.5: Rational Functions

Problem 8E

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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

How do I tell if it’s continuous

-10 -9 -8 -7 -6 -5 -4 -3 2 -11
1 2 3 4 5 6 7 8 9 10
-4
-6
lim f(x) =4 b) lim f(x) =6 fn lim f(x) = | 8) lim f(x) = /
a)
%3D
X-3+
x-5-
x→5+
c) lim f (x) =DNE0) F(3) = |
h) lim f(x) =| o(5) = DNE
h) lim f(x) = | )f(5) = DNE
x-3
x-5
e) Is f(x) continuous at x = 3?
Is f continuous at x = 5?

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