Question 1.
Prove using arguments that
(i) is continuous at x=a, where a not equal to 0.
(ii) Deduce (quoting an appropriate theorem) that is continuous on the interval .
Question 2.
Consider the function
(i) At which points is f(x) continuous?
(ii) Are there points at which f is continuous on the left or on the right but not continuous?
(iii) Give the smallest value of c for which the function f is an injection if its domain is restricted to the interval [c,3]
Thanks a lot for your guidance guys!