Question

If f is a function such that
`\lim_(x \to a) (f(x)-f(a))/(x-a) =5`, then which of the following statements must be true? A) f(a) = 5 B) The slope of the tangent line to the function at x = a is 5. C) The slope of the secant line through the function at x = a is 5. D) The linear approximation for f(x) at x = a is y = 5

Answer 1

Option D). is correct choice.

Explanation:

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

Best Regards!