# Math

posted by
**Paul**
.

Consider the function

f(x)= 2e^x, if x<0

f(x) = -3x+2, if 0< or equal to x < or equal to 2/3

f(x) = 1, if x > or equal to 2/3

a) evaluate the limit X->0- and X->0+

b) Does limit X ->0 exist? Is f continuous at x=0

c) Evaluate the limit X->2/3- and X -> 2/3+

D) Does limit X->2/3 exist? Is f continuous at x=2/3?