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12.3 Exercise 58

Avg difficulty 2.5

Find the limit lim x→1 f(x) \underset{x \rightarrow 1}{\lim} f \left(x\right) and determine if the following function is continuous at x=1: x = 1 :

fx={ x 2 +4 x≠1 2 x=1 f x = \left\{\right. \begin{matrix}x^{2} + 4 & x \neq 1 \\ 2 & x = 1\end{matrix}

OpenStax Precalculus 2e, 12.3 Continuity, exercise 58

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Adapted from College Algebra © 2021 Rice University. Licensed under CC BY 4.0. Sources: College Algebra 2e, Algebra and Trigonometry 2e, Precalculus 2e, College Algebra with Corequisite Support 2e. Imported at revision 4922e46.