Find $\lim _ { x \rightarrow 4 } \frac { 4 - x } { \sqrt { x } - 2 }$
A) 4
B) -4
C) 0
D) Does not exist

Name: Find $\lim _ { x \rightarrow 4 } \frac { 4 - x } { \sqrt { x } - 2 }$ A) 4 B) -4 C) 0 D) Does not exist
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Question

Quizplus · Accepted Answer

The limit can be solved by rationalizing the denominator. Multiply both the numerator and the denominator by the conjugate of the denominator, $\sqrt{x} + 2$, to get $\frac{(4-x)(\sqrt{x} + 2)}{x - 4}$. Simplifying this, we get $-(\sqrt{x} + 2)$, and substituting $x = 4$ gives $-4$.

Find lim⁡x→44−xx−2\lim _ { x \rightarrow 4 } \frac { 4 - x } { \sqrt { x } - 2 }limx→4​x​−24−x​

Find $\lim _ { x \rightarrow 4 } \frac { 4 - x } { \sqrt { x } - 2 }$