- #1
MIT2014
- 10
- 0
Homework Statement
Let f:R[tex]\rightarrow[/tex]R satisfy f(x+y) = f(x) + f(y) for real numbers x and y. If we let f be continuous, show that [tex]\exists[/tex] a real number b such that f(x) = bx.
Homework Equations
n/a
The Attempt at a Solution
Nooooo clue!