?Find $lim _{x \rightarrow \infty} f(x)$ if, for all ${x\quad>1}$,$$\frac{10

Chapter 2, Problem 67

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Find $lim _{x \rightarrow \infty} f(x)$ if, for all ${x\quad>1}$,

$$\frac{10 e^{x}-21}{2 e^{x}}<f(x)<\frac{5 \sqrt{x}}{\sqrt{x-1}}$$

Equation Transcription:

${lim}_{x\rightarrow{}\infty{}}$ f(x)

x > 1

$\frac{10{e}^{x}\ -\ 21}{2{e}^{x}}$ < f(x) < $\frac{5\sqrt{x}}{\sqrt{x\ -\ 1}}$

Text Transcription:

Lim_x right arrow infinity f(x)

x greater than 1

10e^x-21/2e^x less than f(x) less than 5 sqrt x/sqrt x-1

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?Find \(lim _{x \rightarrow \infty} f(x)\) if, for all \({x\quad>1}\),$$\frac{10