Infinite Limits - Assignment Problems

# Infinite Limits - Assignment Problems - z h z ﬁ(c 4 lim z...

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Calculus I © 2007 Paul Dawkins 1 http://tutorial.math.lamar.edu/terms.aspx Preface Here are a set of problems for my Calculus I notes. These problems do not have any solutions available on this site. These are intended mostly for instructors who might want a set of problems to assign for turning in. I try to put up both practice problems (with solutions available) and these problems at the same time so that both will be available to anyone who wishes to use them. As with the set of practice problems I write these as I get the time and some sections will have only a few problems at this point and others won’t have any problems in them yet. Rest assured that I’m always trying to get more problems written but this site has been written and maintained in my spare time and so I usually cannot devote as much time as I’d like to the site. Infinite Limits For problems 1 – 8 evaluate the indicated limits, if they exist. 1. For () () 2 4 1 gx x - = - evaluate, (a) ( ) 1 lim x gx - (b) ( ) 1 lim x gx + (c) ( ) 1 lim x gx 2. For () () 3 17 4 hz z = - evaluate, (a) ( ) 4 lim z hz -

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Unformatted text preview: z h z + ﬁ (c) ( ) 4 lim z h z ﬁ 3. For ( ) ( ) 2 7 4 3 t g t t = + evaluate, (a) ( ) 3 lim t g t-ﬁ-(b) ( ) 3 lim t g t + ﬁ-(c) ( ) 3 lim t g t ﬁ-4. For ( ) 3 1 8 x f x x + = + evaluate, (a) ( ) 2 lim x f x-ﬁ-(b) ( ) 2 lim x f x + ﬁ-(c) ( ) 2 lim x f x ﬁ-Calculus I © 2007 Paul Dawkins 2 http://tutorial.math.lamar.edu/terms.aspx 5. For ( ) ( ) 4 2 1 9 x f x x-=-evaluate, (a) ( ) 3 lim x f x-ﬁ (b) ( ) 3 lim x f x + ﬁ (c) ( ) 3 lim x f x ﬁ 6. For ( ) ( ) l n 8 W t t = + evaluate, (a) ( ) 8 lim w W t-ﬁ-(b) ( ) 8 lim w W t + ﬁ-(c) ( ) 8 lim w W t ﬁ-7. For ( ) ln h z z = evaluate, (a) ( ) lim z h z-ﬁ (b) ( ) lim z h z + ﬁ (c) ( ) lim z h z ﬁ 8. For ( ) ( ) cot R y y = evaluate, (a) ( ) lim y R y p-ﬁ (b) ( ) lim y R y + ﬁ (c) ( ) lim y R y ﬁ For problems 9 – 12 find all the vertical asymptotes of the given function. 9. ( ) 6 9 h x x-=-10. ( ) ( ) 3 2 8 5 2 x f x x x + =-11. ( ) ( ) ( ) 5 7 12 t g t x x x = +-12. ( ) ( ) ( ) 2 5 6 2 1 1 15 z g z z z + =-+...
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## This note was uploaded on 02/05/2011 for the course CALCULUS/C 202 taught by Professor Tadius during the Spring '11 term at Benedictine KS.

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Infinite Limits - Assignment Problems - z h z ﬁ(c 4 lim z...

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