Recent content by zachsdado

f(0)-f(0)=f(0)+f(0)-f(0) 0=f(0)

how is this 0

you have f(0)=f(0)+f(0)

ok I have deterimed that i can not do this problem. I do not not even understand how two deduce that f(0)=0

Of course I tried using the def. of a monotone sequence to show that the subsequence was monotone and bounded hence it converged to some number and then tried to prove that the sequence was convergent thus it was bounded

Homework Statement prove that a monotone sequence which has a bounded subsequence is bounded Homework Equations The Attempt at a Solution

Homework Statement suppose f is a function with the property f(x+y)=f(x)+f(y) for x,y in th reals. suppose f is continuous at 0. show f is continuous everywhere. Homework Equations The Attempt at a Solution I do not understand how to show that f is continuous everywhere.