a) As x→0, g(x)→x, so g(x)→0; as x→0, f(x)=1, so g(x)/f(x) as x→0 is 0/1=0. Limit→0.
b) As x→2 means x<2 or x>2 by a small amount. We can write this as x<>2 which means x≠2. We can be sure x>1 because it’s close to 2, so f(x)→2; g(x)→x as x→2 (remember x is not equal to 2) so g(x)→2 and f(x)/g(x)→2/2 and f(x)g(x)→1 in the limit.