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Unformatted text preview: a ) lim x 1 x 2 + 2 x3 x 2 + x2 b ) lim x 1 2 x 2 + 1 3 x1 c ) lim x 1cos(sin( x )) x 2 d ) lim x 1 p ( x1) 2 + 11 x1 e ) lim x  sin( x )  x III: (25 points) Given the function f ( x ) = 5 9 + x 2 . a) Find all values for x that satisfy  f ( x )f (4)  < 1 b) Find g ( h ) so that  f (4 + h )f (4)  = g ( h )  h  c) For > 0, nd > 0 so that  h  <  f (4 + h )f (4)  < IV: (25 points) Show, using Mathematical Induction, that for n = 1 , 2 , . . . 7 n6 n1 is divisible by 36. Fill in the following steps: a) Check the statement for n = 1 and n = 2. b) Write down the Induction Assumption: c) Carry out the Induction Step:...
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 Fall '08
 N/A
 Calculus, Approximation

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