Let f be a function with domain R.

f be a function with domain R. Assume f is increasing and bounded above. Let M supremum of f. Prove that lim f(x) = M. I-+00 : You will need to use the definition of supremum of a function and the definition f(x). Do not make any unwarrented assumptions about the function f; for example, assume f is continuous or that lim f() exists (you must show it exists). I-100