Question

consider the piecewise function:
f(x)= 2x^2-x^3, x<3
e^(2x-4), x>or equal to 2

find the limit of f(x) as x goes to 2
a)0
b)1
c)2
d)8
e)does not exist

Answer 1

limits are not my strong point I must admit
as x approaches 2 from above f(x) approaches 0
then at x = 2 f(x) suddenly jumps to e^0 = 1

i'm not sure what that implies with respect to the limit

maybe d

Answer 2

sorry - i meant e) : limit does not exist