True or False: A function can have an infinite discontinuity at a point and still be continuous at that point.

.   True or False: If a function is differentiable at a point, then it is continuous at that point.

   True or False: If a function is continuous on an open interval, then it must be bounded on that interval.

   True or False: If a function is continuous on an open interval, then it must have a maximum and minimum value on that interval.

.   True or False: If a function is continuous on a closed interval, then it must have a maximum and minimum value on that interval.

   True or False: If a function is continuous on an interval, then it is differentiable on that interval.

   True or False: A function is continuous at a point if its limit exists at that point.

.   True or False: A function can have a removable discontinuity at a point and still be continuous at that point.

   True or False: If a function is continuous on a closed interval, then it must be bounded on that interval.

.   True or False: A function can be continuous at a point but not differentiable at that point.