CPM Homework Help : CALC Problem 7-139

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7-139.

Evaluate each limit.

$\lim\limits_ { x \rightarrow \infty } \frac { x } { \sqrt { x ^ { 2 } + 2 } }$
Hint (a):
Only consider the highest power on the top and the bottom. If they are the same, remember to account for their coefficients.

$\lim\limits_ { x \rightarrow - \infty } \frac { x } { \sqrt { x ^ { 2 } + 2 } }$
Hint (b):
For some limits, approaching $−∞$ will lead to a different result than approaching $+∞$ . This is one of those cases. Explain.

$\lim\limits_ { x \rightarrow 2 } \frac { \frac { 1 } { x } - \frac { 1 } { 2 } } { x ^ { 2 } - 4 }$

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