210Exam1Review - Math 210 WS 2007 Exam 1 Review 1) Find the...

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Math 210 WS 2007 Exam 1 Review 1) Find the following limits a) x x x 2 2 lim 3 1 - b) 1 lim 2 + x x x c) 2 5 lim 6 - - x x d) 6 lim 1 - x e) 1 1 lim 2 1 - - x x x f) 2 2 1 2 3 lim x x x x x - + + -∞ g) t t t t - + -∞ 3 9 lim 2 h) 1 lim 1 + x x i) 1 4 lim 1 - + + x x x j) 2 8 6 lim 2 2 + + + - x x x x k) 3 8 7 lim 2 3 + - - - x x x x l) x x x 1 lim 2 + -∞ m) x x - 2 lim n) x x x 2 4 lim 4 + - -∞ o) ) 2 ln( lim 2 - + x x p) t t t sin lim 0 . 2) Use the graph of f below to find a-o a) ) ( lim 4 x f x - - b) ) ( lim 4 x f x + - c) ) ( lim 4 x f x - d) ) ( lim 3 x f x - e) ) ( lim x f x -∞ f) ) ( lim 1 x f x - g) ) ( lim 0 x f x h) ) ( lim 2 x f x + i) ) ( lim 2 x f x - j) ) ( lim 2 x f x k) ) ( lim 4 x f x l) ) ( lim x f x m) f (-4) n) f (-1) o) f (4) 4 2 -1 -3 -4 (4,5/4) 1 2 (-4,5/2) (-4,3/2)
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3) Let f ( x ) = x – 1 if x ≤ 1 sin (π x ) if x > 1 Does ) ( lim 1 x f x exist? Justify your answer 4) For f(x) = 4 4 2 2 2 + + - + x x x x , find values of x for which the function is undefined. Determine whether the graph of f has a hole or a vertical asymptote at these values. 5) Given the function f(x) = 3 x + 1 if x ≤ 0 - x 2 if 0 < x ≤ 2 5 2 1 - x if x > 2 6) Give equations of all vertical and horizontal asymptotes.
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This note was uploaded on 05/04/2008 for the course MATH 210 taught by Professor Volkerding during the Winter '07 term at University of Missouri-Kansas City .

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210Exam1Review - Math 210 WS 2007 Exam 1 Review 1) Find the...

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