Unformatted text preview: not be accepted for this part. (b) (5 Points) Use the information obtained in part (a) to Fnd the equation of the tangent line to the graph of g ( x ) at the point (1 , 2). (5) (10 Points) Consider the function f ( x ) deFned below f ( x ) = b x sin ( 1 x ) if n = 0 , if x = 0 . (a) (5 Points) Show that f is continuous at x = 0. (b) (5 Points) Use the deFnition of the derivative to show that f is not di±erentiable at x = 0; that is, use the limit deFnition of f ′ (0) and show that it does not exist. 1...
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 Fall '11
 JoseGomez
 Calculus, Intermediate Value Theorem, Continuous function, limit deﬁnition, JOSE MANUEL GOMEZ

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