### Home > CALC > Chapter 6 > Lesson 6.4.1 > Problem6-129

6-129.

Find the following limits for $y = g(x)$ graphed in problem 6-128.

1. $\lim\limits_ { x \rightarrow - 1 ^ { - } } g ( x )$

Remember that a limit does not always agree with the actual value.

1. $\lim\limits_{ x \rightarrow - 1 ^ { + } } g ( x )$

Refer to hint in part (a).

1. $\lim\limits_ { x \rightarrow - 1 } g ( x )$

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

1. $\lim\limits_ { x \rightarrow - 5 } g ( x )$

Refer to hint in part (c).

1. $\lim\limits_ { x \rightarrow 4 ^ { + } } g ( x )$

Refer to the hint in part (a).

1. $\lim\limits_ { x \rightarrow 4 } g ( x )$

Refer to the hint in part (c).