Unformatted text preview: x . (iv) If f, g : IR 7â†’ IR are continuous at x âˆˆ IR then f Â· g is continuous at x . 3. Explain how the results of 2. imply as a corollary that every polynomial function p : IR 7â†’ IR is continuous at every point x âˆˆ IR. (10 pts) (No detailed proof expected, just a general outline of the argument.) Bonus : Under the assumptions of 2.iii, show that f g is also continuous at x provided g ( x ) 6 = 0....
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 Spring '07
 thieme
 Calculus, Continuity, Derivative, Continuous function, standard definition, Advanced Calculus Minitest

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