- 12 A Function F R R Is Said To Be Additive If F X Y F X F Y For All X Y In R Prove That If F Is Continuous 1 (38.94 KiB) Viewed 17 times
12. A function f :R → R is said to be additive if f(x + y) = f(-x)+f(y) for all x, y in R. Prove that if f is continuous
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12. A function f :R → R is said to be additive if f(x + y) = f(-x)+f(y) for all x, y in R. Prove that if f is continuous
12. A function f :R → R is said to be additive if f(x + y) = f(-x)+f(y) for all x, y in R. Prove that if f is continuous at some point xo, then it is continuous at every point of R. (See Exercise 4.2.12.)
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