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Concept explainers
In Problems 7-42, find each limit algebraically.
True or False Every polynomial function is continuous at every real number.
![Check Mark](/static/check-mark.png)
Check whether the given statement is true or false: Every polynomial function is continuous at every real number.
Answer to Problem 12AYU
True.
Explanation of Solution
Let be a polynomial function of degree .
Let be a real number.
We see that,
Therefore is continuous at .
Since is chosen arbitrarily, every polynomial function is continuous at every real number.
Chapter 14 Solutions
Precalculus Enhanced with Graphing Utilities
Additional Math Textbook Solutions
Glencoe Math Accelerated, Student Edition
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Calculus, Single Variable: Early Transcendentals (3rd Edition)
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