Can you please help me with these proofs?

(1) Let A on R and let f : A --> R be such that f(x) > 0 for all x on A.

Prove that if lim x -->c f(x) exists and is nonzero, for some c on A, then lim x -->c square root(f(x)) = square root (lim x-->c f(x)).

(2) If f, defined on an interval [a,infinity), is a decreasing function and is bounded below then lim x -->infinity f(x) exists.