Question: Bonus (10 points) Let E = {0}U{= INEN and f : E R have the property that %3D f (x)| < 3|x|, for all

Bonus (10 points) Let E = {0}U{= INEN and f : E

Bonus (10 points) Let E = {0}U{= INEN and f : E R have the property that %3D \f (x)| < 3|x|, for all x E E. Prove that f is continuous for all x E E. Hint: Consider what f(0) must be.

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