Lab3.doc - MAT NYA Lab 3 1 Stewart 7th edition page 96...

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MAT NYA Lab # 3 1. Stewart 7 th edition, page 96, number 8. 2. Evaluate the following infinite limits: a) 3 5 ) 5 ( 2 lim x x x b) ) 2 ( 1 lim 2 0 x x x x c) ) 2 ( 1 lim 2 2 x x x x d) 1 1 lim 3 1 x x e) 3 0 2 lim x x x f) x x sec lim 2 g) ) 25 ln( lim 2 5 x x h) 1 cos 1 lim 0 x x 3. Find the vertical asymptote(s) of the following functions by finding all the appropriate limits. Sketch a graph of the function near the asymptote(s). a) 4 5 2 2 ) ( 2 x x x x f b) 4 4 ) ( 2 x x x x f c) 3 4 3 ) ( 2 x x x x f 4. Let x c x x f 2 ) 1 ( ) ( for 0 x . Find the unique number c such that ) ( lim 0 x f x exists. What is the limit for that particular value of c ? 5. Stewart 7 th edition, page 127, numbers 3, 19 and 20. 6. For the following function, a) Find the value(s) of x at which the function it is discontinuous.
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