QUESTION 1
Evaluate the following limits:
a)

b)

c)
QUESTION 2
a) Determine the points at which the following function is not continuous:

b) Obtain the values of such that the following function is continuous everywhere:

c) Determine whether the following function is continuous at :

QUESTION 3
Let , where .
a) Show that .
b) Show that .
c) Show that .
QUESTION 4
a) Determine the derivative of the function and using the definition of the derivative.
b) Hence, compute .