Find $\lim _ { h \rightarrow 0 } \frac { f ( x + h ) - f ( x ) } { h }$

question 102

Multiple Choice

Find $\lim _ { h \rightarrow 0 } \frac { f ( x + h ) - f ( x ) } { h }$ for $f ( x ) = \sqrt { x - 7 }$ .

• A) \(\frac { 1 } { 7 \sqrt { x - 7 } }\)
• B) \(\frac { 1 } { 2 \sqrt { x - 7 } }\)
• C) \(\frac { \sqrt { x - 7 } } { 2 }\)
• D) \(\sqrt { x - 7 }\)
• E) limit does not exist

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