Question: PROBLEM 3 [LIMITS OF FUNCTIONS]: Given the function f(z) below: Z Z PROBLEM 3 [LIMITS OF FUNCTIONS]: Given the function f(z) below: z sin(z2 z)

PROBLEM 3 [LIMITS OF FUNCTIONS]: Given the function f(z) below: z sin(z2

z) ' 3, z 22 a. b. Find a and b so

PROBLEM 3 [LIMITS OF FUNCTIONS]: Given the function f(z) below: Z Z

PROBLEM 3 [LIMITS OF FUNCTIONS]: Given the function f(z) below: z sin(z2 z) ' 3, z 22 a. b. Find a and b so that the limits of f (z) as z i 0 and as z + 2 both exist. (25 points) Using the obtained values of a and of b in part (a), find f (O) and f (I). (10 points)

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