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GHW1 - 4 ln lim 2 2 − → x x Section 2.3 Limit Laws 1(6...

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Math 2413 Graded Homework #1 Fall 2011 Work is to be done in a Blue Book per the instructions in the Syllabus and turned in to Lecture Monday 9/12 Section 2.2 One and two sided limits, vertical asymptotes 1. (8 pts) For the function f whose graph is shown, give the value of each quantity, if it exists. If the limiting behavior is or , so state. If the limit does not exist write DNE. (a) ) ( lim 2 3 x f x (b) ) ( lim 2 x f x (c) ) ( lim 0 x f x (d) Write an equation for each vertical asymptote of the curve ) ( x f y = . 2. (8 pts) Determine the infinite limit (a) 1 1 4 lim 1 + x x x (b) 25 10 5 9 2 lim 2 2 5 + x x x x x (c)
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Unformatted text preview: ) 4 ln( lim 2 2 − + → x x Section 2.3 Limit Laws 1. (6 pts) Given , 6 ) ( lim 7 = → x f x 3 ) ( lim 7 − = → x g x , and ) ( lim 7 = → x h x , find the following limits (a) (b) )] ( 5 ) ( [ lim 7 x g x f x − → ⎟ ⎟ ⎠ ⎞ ⎜ ⎜ ⎝ ⎛ → ) ( ) ( ) ( lim 7 x g x h x f x (c) 3 1 ) ( ) ( 3 ) ( 1 lim 7 ⎟ ⎟ ⎠ ⎞ ⎜ ⎜ ⎝ ⎛ − + → x h x f x g x 2. Evaluate the limit. (a) (4 pts) ) 2 ( lim 3 3 3 − + − → x e x x π (b) (7 pts) 2 lim − → x 2 3 5 2 + − + x x (c) (7 pts) 4 2 1 2 3 lim 4 − − + → x x x...
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