**Problem : **
Is the following function continuous: *f* (*x*) = 3*x*^{2} + 2? If not, what type
of discontinuity exists?

Yes, it is continuous -- it is a polynomial.

**Problem : **
Is the following function continuous: *f* (*x*) = ? If not, what type
of discontinuity exists?

No, it is discontinuous. There exists an infinite discontinuity at

*x* = 0.

**Problem : **
Is the following function continuous: *f* (*x*) = tan(*x*)? If not, what type of
discontinuity exists?

No, it is discontinuous. An infinite discontinuity exists at the points

*x* = + *nΠ*, where

*n* is any integer.

**Problem : **
Is the following function continuous: *f* (*x*) = ? If not, what
type of discontinuity exists?

No, it is discontinuous. At

*x* = 0, a point discontinuity exists.

**Problem : **
Is the following function continuous: *f* (*x*) = *x*)? If not, what type of
discontinuity exists?

Yes, it is continuous (for all

*x* > 0, of course--this is the domain of the
function).