14. Let c E R and let ƒ : R → R be such that lim(f(x))² = L. a. Show that if L = 0, then lim f(x) = 0. T->C →C b. Show by example that if L 0, then ƒ may not have a limit at c.

Determine if the statemment is true or false. If the statement is false, then correct it and make it true. If the function f increases on the interval -,x1 and decreases on the interval x1,, then fx1 is a local minimum value.