Unformatted text preview: δ > such that f is bounded on [ xδ, x + δ ] . Is the function f bounded on R ? (If yes, prove it; if not give a counterexample). Problem 8. Is the function g : R → R deFned by g ( x ) = 3 x +  x  di±erentiable everywhere? (Prove your assertion!) Problem 9. If f : R → R is di±erentiable 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...
View
Full Document
 Fall '10
 Mark
 Mathematical analysis

Click to edit the document details