Calculus Question

Question

Given the piece wise function:

f(x) = x^2, x < or equal to 2

f(x) = -x+8, x>2

determine the limit as x approaches 2

A) 4

B) 6

C) 0

D) Undefined

Help!? Is it D?

Answer 1

lim_x→2- = (2)² = 4

 

lim_x→2+ = -(2) + 8 = 6

 

lim_x→2- f(x) ≠ lim_x→2+ f(x)

 

Therefore, lim_x→2 f(x) is undefined.