hw20 - Does the limit lim t → ± 2011 t 3-√ t + 9 ²...

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MAT 1330, Fall 2011 Assignment 2 Due WED October 5, at the beginning of class. Late assignments will not be accepted; nor will unstapled assignments. Instructor (circle one): Robert Smith? Jason Levy Olga Vassilieva Catalin Rada DGD (circle one): 1 2 3 4 Student Name Student Number By signing below, you declare that this work was your own and that you have not copied from any other individual or other source. Signature Question 1. Find lim x 0 ± x 4 + sin 3 x 2011 ² . Answer: Give one sequence to support your claim. Four terms are enough. Question 2.
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Unformatted text preview: Does the limit lim t → ± 2011 t 3-√ t + 9 ² exist? Answer: Justify your answer in at most two lines without using sequences of numerical values for t . Answer: 1 Question 3. Let F ( x ) = 4-x 2 | 2-x | + | x | . a) Find lim x → 2 + F ( x ). b) Find lim x → 2-F ( x ). c) Does lim x → 2 F ( x ) exist? Answer: Justify your answer: Question 4. Consider the function f ( x ) = 2011 x 2 . Use the definition of the derivative to compute f (2). Answer: 2...
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This note was uploaded on 12/19/2011 for the course MAT 1330 taught by Professor Dumitriscu during the Fall '08 term at University of Ottawa.

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hw20 - Does the limit lim t → ± 2011 t 3-√ t + 9 ²...

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