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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 }

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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 .
- (x) =4x+7,x=6( x ) = - 4 x + 7 , x = 6

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