Suppose a function f : R → R satisfy f(x + y) = f(x) + f(y) and f is continuous(adsbygoogle = window.adsbygoogle || []).push({});

at x = 0: Show that f is continuous at every point in R.

(Hint: Using the fact that

lim f(x) = l implies

x→x0

limf(x0+h)= l

h→0 )

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# Homework Help: Show that f is continuous at every point in R

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