hw 3 - What is the value of the limit lim x 1 x-1 x 2-6 x +...

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Calculus for the Life Science I MAT1330A , MAT1330B, MAT1330E Assignment 3 Due date: Oct. 7 Instructor (circle one): Jing Li , Catalin Rada , Frithjof Lutscher DGD (circle one): 1 , 2 , 3 , 4 Student Name (printed): Student ID Number: Question 1 To estimate the limit lim x 0 f ( x ), where f ( x ) = e x - 1 - x x 2 , one may use sequences of numerical values for x approaching 0. a ) Give two sequences to estimate the limit. A few terms for each sequence is enough. x n f ( x n ) and x n f ( x n ) b ) We may conclude that lim x 0 f ( x ) = . Question 2 Does the limit lim x 2 | x - 2 | x - 2 exist ? Answer : Justify your answer in one line. . Question 3
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Unformatted text preview: What is the value of the limit lim x 1 x-1 x 2-6 x + 5 ? Answer : Justify your answer without using sequences of numerical values for x . 2 . Question 4 We consider the function f ( x ) = ( if x Q x 2 if x 6 Q a ) Is the function f continuous at x = 0 ? Answer : Justify your answer in one line. b ) Does the derivative of f exist at x = 0 ? Answer : Justify your answer in one line. . Note : Try to visualize the graph of f in your mind. Is it a nice continuous curve ?...
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This note was uploaded on 04/08/2010 for the course MATH MAT1330 taught by Professor Rad during the Spring '10 term at University of Ottawa.

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hw 3 - What is the value of the limit lim x 1 x-1 x 2-6 x +...

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