What is the relationship between limits and derivatives? Explain with examples of your own.

Anna was asked to evaluate the limit as x approaches 4 of (x^2 - 16)/(x - 4).

She responded the limit was DNE. Is she right? Justify your answer.

Explain how you find instantaneous velocity and find it for s(t) = -3 + 4t^2 when t = 5 seconds.

Create a function that has DNE (Does Not Exist) for a limit.

Create a function that has a derivative of f(x) = 2x + 1 at a given input value of your choice.