create f(x) & pick a point c such that the limit of f(x) as x approaches c from both left and right are equal and continuous.show the valuesshow...

f(x) =  5x.

The right limit as x--> c= Limit h-->0 5(c+h) = 5c

The left limit of 5x as x--> c = limit h-->0 5(c+h) =5c.

At x=c, function takes the value 5c.

Thus the the left limit = right limit = functional value at = c. This holds for all c belonging to R.

Thus thus 5x is an example for the typical function constructed.