Think About It In Exercises 7982, LHpitals Rule is used incorrectly. Describe the error

Chapter 8, Problem 80

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Think About It In Exercises 79-82, L’Hôpital’s Rule is used incorrectly. Describe the error.

\(\begin{array}{l} \lim _{x \rightarrow 0} \frac{e^{2 x}-1}{e^{x}}=\lim _{x 0} \frac{2 e^{2 x}}{e^{x}} \\ =\lim _{x \rightarrow 0} 2 e^{x} \\ =2 \end{array} \)

Text Transcription:

lim_x rightarrow 0 e^2x-1/e^x = lim_x rightarrow 0 2e^2x/e^x

=lim_x rightarrow 0 2e^x

=2

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