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Unformatted text preview: (a) Let f ( x ) = 2 x  x  if x <21 if x =2 4x 2 if2 < x < 1 2 if x = 1 2 x + 1 if x > 1 i. Sketch a graph of f . ii. Find f (3), f (2), f (0), f (1) and f (5). iii. Find the following limits, if they exist: A. lim x  f ( x ) B. lim x 3 f ( x ) C. lim x 2f ( x ) 1 D. lim x 2 + f ( x ) E. lim x 2 f ( x ) F. lim x 1f ( x ) G. lim x 1 + f ( x ) H. lim x 1 f ( x ) I. lim x f ( x ) (b) Find constants a and b such that lim x ax + b2 x = 1 . Please show all your work. 2...
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 Winter '08
 D.Allen

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