?(a) For $f(x)=\frac{2}{x}-\frac{1}{\ln x}$ find each of the following limits.\(\text

Chapter 2, Problem 44

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(a) For $f(x)=\frac{2}{x}-\frac{1}{\ln x}$ find each of the following limits.

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

$\text { (ii) } \lim _{x \rightarrow 0^{+}} f(x)$

$\text { (iii) } \lim _{x \rightarrow 1^{-}} f(x)$

$\text { (iv) } \lim _{x \rightarrow 1^{+}} f(x)$

(b) Use the information from part (a) to make a rough sketch of the graph of $f$.

Equation Transcription:

$f(x)=\frac{2}{x}-\frac{1}{ln\ x}$

$(i)\lim\limits_{{x} \rightarrow {\infty{}}}f(x)$

$(ii)\lim\limits_{{x} \rightarrow {{0}^{+}}}f(x)$

$(iii)\lim\limits_{{x} \rightarrow {{1}^{-}}}f(x)$

$(iv)\lim\limits_{{x} \rightarrow {{1}^{+}}}f(x)$

$f$

Text Transcription:

f(x)=2/x-1/lnx

(i)lim over x rightarrow infty f(x)

(ii)lim over x rightarrow 0^+ f(x)

(iii)lim over x rightarrow 1^- f(x)

(iv)lim over x rightarrow 1^+ f(x)

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?(a) For \(f(x)=\frac{2}{x}-\frac{1}{\ln x}\) find each of the following limits.\(\text