Find the Limit (If It Exists) $\lim _ { z \rightarrow 0 } \frac { \sqrt { 7 - z } - \sqrt { 7 } } { z }$

question 156

Multiple Choice

Find the limit (if it exists) .Round your answer to four decimal places. $\lim _ { z \rightarrow 0 } \frac { \sqrt { 7 - z } - \sqrt { 7 } } { z }$

• A) \(\lim _ { z \rightarrow 0 } \frac { \sqrt { 7 - z } - \sqrt { 7 } } { z } \approx 0.1890\)
• B) \(\lim _ { z \rightarrow 0 } \frac { \sqrt { 7 - z } - \sqrt { 7 } } { z } \approx - 0.3780\)
• C) \(\lim _ { z \rightarrow 0 } \frac { \sqrt { 7 - z } - \sqrt { 7 } } { z } \approx 0.3780\)
• D) \(\lim _ { z \rightarrow 0 } \frac { \sqrt { 7 - z } - \sqrt { 7 } } { z } \approx - 0.1890\)
• E) \(\lim _ { z \rightarrow 0 } \frac { \sqrt { 7 - z } - \sqrt { 7 } } { z } \approx 5.2915\)

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