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Unformatted text preview: > such that f is bounded on [ x-, x + ] . Is the function f bounded on R ? (If yes, prove it; if not give a counter-example). Problem 8. Is the function g : R R deFned by g ( x ) = 3 x + | x | dierentiable everywhere? (Prove your assertion!) Problem 9. If f : R R is dierentiable at c R , then show that lim ( n ( f ( c + 1 n )-f ( c )) exists and is equal to f ( c ) . Problem 10. Show that if x > then we have 1 + x 3 l 1 + 1 3 x 1...
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- Fall '10