Suppose that f(z) = (x-2)4 a. If N = 100, then find a 8 >0 such that if x #2 satisfies |z-2 <8, then

  

Suppose that f(z) = (x-2)4 a. If N = 100, then find a 8 >0 such that if x #2 satisfies |z-2 100. b. If N = 10000, then find a > 0 such that if z #2 satisfies | -2 10000. c. Finally, provide a proof to show that 1 lim -2 (z-2)4 11