Advanced Placement (AP)

If f is a function such that the limit as x approaches a of the quotient of the quantity f of x minus f of a and the quantity x minus a equals 5 , then which of the following statements must be true? f(a) = 5

The slope of the tangent line to the function at x = a is 5.

The slope of the secant line through the function at x = a is 5.

The linear approximation for f(x) at x = a is y = 5

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