Let f(x) = x 3 + 3 and note that For each value of , use a graphing utility to find all values of

Let f(x) = x³ + 3 and note that For each value of ε, use a graphing utility to find all values of δ > 0 such that |f(x) - 3| < ε whenever 0 < |x - 0| < δ. Sketch graphs illustrating your work.

a. ε = 1

b. ε = 0.5

lim f(x) = 3. x-