CPM Homework Help : CALC3RD Problem 6-122

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6-122.

Evaluate the following limits for $y = g(x)$ , graphed in problem 6-121.

$\lim\limits _ { x \rightarrow - 1 ^ { - } } g ( x )$
Hint (a):
Remember that a limit does not always agree with the actual value.

$\lim\limits _ { x \rightarrow - 1 ^ { + } } g ( x )$
Hint (b):
Refer to the hint in part (a).

$\lim\limits _ { x \rightarrow - 1 } g ( x )$
Hint (c):
In order for a limit to exist:
$\lim \limits_{x\rightarrow a^{-}}f(x)\text{ must agree with}\lim \limits_{x\rightarrow a^{+}}f(x).$

$\lim\limits _ { x \rightarrow - 5 } g ( x )$
Hint (d):
Refer to the hint in part (c).

$\lim\limits _ { x \rightarrow 4 ^ { + } } g ( x )$
Hint (e):
Refer to the hint in part (a).

$\lim\limits _ { x \rightarrow 4 } g ( x )$
Hint (f):
Refer to the hint in part (c).

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