5562 Evaluate the limit using an appropriate substitution. limx+1 +2xx[Hint: t = x/2]

Chapter 1, Problem 62

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QUESTION:

Evaluate the limit using an appropriate substitution.

\(\lim _{x \rightarrow+\infty}\left(1+\frac{2}{x}\right)^{x}\)[ Hint: \(t=x / 2\)]

Equation Transcription:

Text Transcription:

lim_x rightarrow + infinity (1+2/x)^x

t = x/2

Questions & Answers

QUESTION:

Evaluate the limit using an appropriate substitution.

\(\lim _{x \rightarrow+\infty}\left(1+\frac{2}{x}\right)^{x}\)[ Hint: \(t=x / 2\)]

Equation Transcription:

Text Transcription:

lim_x rightarrow + infinity (1+2/x)^x

t = x/2

ANSWER:

Step 1 of 3

Substitute

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