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!