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

Question 102

Multiple Choice

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


A) 17x−7\frac { 1 } { 7 \sqrt { x - 7 } }
B) 12x−7\frac { 1 } { 2 \sqrt { x - 7 } }
C) x−72\frac { \sqrt { x - 7 } } { 2 }
D) x−7\sqrt { x - 7 }
E) limit does not exist

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