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Because of Their Connection with Secant Lines, Tangents, and Instantaneous limh0f(x+h)f(x)h\lim _ { h \rightarrow 0 } \frac { f ( x + h ) - f ( x ) } { h }

Question 199

Multiple Choice

Because of their connection with secant lines, tangents, and instantaneous rates, limits of the form limh0f(x+h) f(x) h\lim _ { h \rightarrow 0 } \frac { f ( x + h ) - f ( x ) } { h } occur frequently in calculus. Evaluate this limit for the given value of xx and function ff .
- f(x) =5x2,x=2f ( x ) = 5 x ^ { 2 } , x = - 2


A) 20
B) -20
C) Does not exist
D) -10

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