Sometimes a function can behave differently on either side of an x-value. We explain this behavior using one-sided limits ( lim f(x) is called the left-sided limit and 4. lim f(x) is called the right-sided limit). Sketch the graph of a function that does not X-a+ have equal one-sided limits.

Sometimes a function can behave differently on either side of an x-value. We explain this behavior using one-sided limits ( lim f(x) is called the left-sided limit and 4. lim f(x) is called the right-sided limit). Sketch the graph of a function that does not X-a+ have equal one-sided limits.

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

Sometimes a function can behave differently on either side of an x-value. We explain
this behavior using one-sided limits ( lim f(x) is called the left-sided limit and
4.
lim f(x) is called the right-sided limit). Sketch the graph of a function that does not
X-a+
have equal one-sided limits.
5. Sketch examples of graphs where
a) lim f(x) = +∞
X-2
P Type here to search
DE

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