I don't know how to do this question; Define the function f: R -> R by f(x)= { x^2 x>= 0 { 0 x < 0 Prove that f is continous.
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Originally Posted by Sterwine I don't know how to do this question; Define the function f: R -> R by f(x)= { x^2 x>= 0 { 0 x < 0 Prove that f is continous. 1. show that $\displaystyle f(0)$ is defined. 2. show that $\displaystyle \lim_{x \to 0} f(x)$ exists by comparing the one-sided limits from the left and the right of x = 0. 3. show that $\displaystyle \lim_{x \to 0} f(x) = f(0)$
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