consider the following piecewise defined function:
f(x) = {x + 5 if x < 3} and {4*sqrt(x+1) if x >= 3}
Using the limit definition of the derivative, and computing the limits from both sides, show that f(x) is differentiable at x=3.
I have no clue what its asking, can someone help?
Note: this is the same as saying
Saying the limit of this function as its approaches values less than 3 to 3, or as the limit as x approaches 3 from the left.
Saying the limit of this function as its approaches values more than or equal to 3, or as the limit as x approaches 3 from the right.
Now compute the limit definition of a derivative