Find the limit, if it exists. (If an answer does not exist, enter DNE.) \lim\arctan(e^{x}) x\approx\infty

ankarskogC 2021-05-02 Answered
Find the limit, if it exists. (If an answer does not exist, enter DNE.)
\(\lim\arctan(e^{x})\)
\(x\approx\infty\)

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Expert Answer

cyhuddwyr9
Answered 2021-05-03 Author has 11348 answers
Step 1
\(\lim\arctan(e^{x})=\arctan(e^{\infty})\)
\(=\arctan(\infty)=\frac{\pi}{2}\)
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