?Find the limit or show that it does not exist.\(\lim _{x \rightarrow \infty} \frac{e^{3

Chapter 2, Problem 38

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QUESTION:

Find the limit or show that it does not exist.

\(\lim _{x \rightarrow \infty} \frac{e^{3 x}-e^{-3 x}}{e^{3 x}+e^{-3 x}}\)

Equation Transcription:

Text Transcription:

lim_x right arrow infinity  e3^x−e^−3x/e^3x+e^−3x

Questions & Answers

QUESTION:

Find the limit or show that it does not exist.

\(\lim _{x \rightarrow \infty} \frac{e^{3 x}-e^{-3 x}}{e^{3 x}+e^{-3 x}}\)

Equation Transcription:

Text Transcription:

lim_x right arrow infinity  e3^x−e^−3x/e^3x+e^−3x

ANSWER:

Step 1 of 2

The given function is,

Solving the above dividing numerator and denominator by  we have,

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