Please help me thanks.

Letf : R - {0} ---> Rbe defined by

f(x) = x^asin(x^-b);

whereb > 0. Find conditions on a; b such that

(a) f can be extended to a continuous function on R.

(b) f can be extended to a differentiable function on R.

(c) f can be extended to a twice differentiable function on R.

R is the set of real numbers in this case.