Let f : (a, b) R be differentiable on (a, b) and suppose there exists an M
Fantastic news! We've Found the answer you've been seeking!
Question:
Let f : (a, b) R be differentiable on (a, b) and suppose there exists an M > 0 such that |f (x)| M for all x (a, b). Prove that f is uniformly continuous on (a, b). Moreover prove that lim xa+ f(x) and lim xb f(x) both exist.
Posted Date: