Find the Limit $\lim _ { x \rightarrow 0 } \frac { \sqrt { x + 6 } - \sqrt { 6 } } { x }$

question 59

Multiple Choice

Find the limit $\lim _ { x \rightarrow 0 } \frac { \sqrt { x + 6 } - \sqrt { 6 } } { x }$ , if it exists.
Select the correct answer.

• A) Does not exist
• B) \(\frac { \sqrt { 6 } } { 12 }\)
• C) \(\frac { \sqrt { 6 } } { 2 }\)
• D) \(\frac { \sqrt { 6 } } { 6 }\)

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