Find the Limit (If It Exists) $\lim _ { x \rightarrow 0 } \frac { \sqrt { x + 16 } - 4 } { x }$

question 24

Multiple Choice

Find the limit (if it exists) . $\lim _ { x \rightarrow 0 } \frac { \sqrt { x + 16 } - 4 } { x }$

• A) \(\lim _ { x \rightarrow 0 } \frac { \sqrt { x + 16 } - 4 } { x } = - \frac { 1 } { 8 }\)
• B) \(\lim _ { x \rightarrow 0 } \frac { \sqrt { x + 16 - 4 } } { x } = \frac { 1 } { 4 }\)
• C) \(\lim _ { x \rightarrow 0 } \frac { \sqrt { x + 16 - 4 } } { x } = \frac { 1 } { 8 }\)
• D) \(\lim _ { x \rightarrow 0 } \frac { \sqrt { x + 16 } - 4 } { x } = \frac { 1 } { 20 }\)
• E) \(\lim _ { x \rightarrow 0 } \frac { \sqrt { x + 16 } - 4 } { x } = - \frac { 1 } { 20 }\)

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