Find and , where f(x) =

where have f(x) =

For x > 0

Right hand limit = =

                       = 3(0 + 1) = 3

For x < 0,

Left hand limit = =

                         = 2(0) + 3 = 3

As =

We have =3

Now, limit as x → 1

For x > 1,

Right hand limit =

                       =

                       = 3(1 + 1) = 6

For x < 1,

Left hand limit = =

                     = 2(-1) + 3 = 1

As ≠

does not exist.