Back to 12.1 Finding Limits: Numerical and Graphical Approaches

12.1 Exercise 51

Avg difficulty 2.5

Use a graphing utility to find numerical or graphical evidence to determine the left and right-hand limits of the function given as x x approaches a. a . If the function has a limit as x x approaches a, a , state it. If not, discuss why there is no limit.

lim x→0 e e − 1 x 2 \underset{x \rightarrow 0}{\lim} e^{e^{- \frac{1}{x^{2}}}}

OpenStax Precalculus 2e, 12.1 Finding Limits: Numerical and Graphical Approaches, exercise 51

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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.