Let f (z ) be an entire function. Suppose there exists a nonnegative integer n and a positive number R0 such that: | f(z) | ≤ c|z|^n , in the region |z| > R0 . Then f(z) is a polynomial of degree not exceeding n.

2. Use the generalized Liouville’s Theorem from (1) to prove the standard Liouville’s Theorem : If a function f is entire and bounded in the complex plane, then f(z) is constant througout the plane.

Please help me to prove these 2 theorem!!! Any help will be appreciated!!! Thank you so much!!!