5. Define f:R + R by f(x) = x2 if x is rational, and f(x) =...

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Question

5. Define f:R + R by f(x) = x2 if x is rational, and f(x) = 0 if x is irrational. Show that f(0) exists and is equal to zero

math Advanced-Math

Answer 1

Answer #1

f: IRR = f(x) = x² if xEQ KS 1 0. - ff x¢os f(o) - lim f(h)-f(0) hoh = lim f(h) ho ht it h then is rational flo) - lim i hto

Answer 2

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