# A2-1087 - (a Let f x = 2 x | x | if x<-2-1 if x =-2 4-x 2...

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Assignment 1 Due Friday, September 19, 2:30 Instructions: You must attach the Assignment Coverpage that is posted in the Math 151 Webct container in the PAPER ASSIGNMENTS folder. You submit assignments in a box marked with the course number, MATH 151, outside the Calculus Workshop. Marked homework is returned in boxes located inside the workshop. You need to do both the questions from the textbook and Instructor’s Questions. Questions: 1. Questions from the textbook Calculus: Early Transcendentals 6th Edi- tion by James Stewart Section 2.2: 12, 14, 18, 28, 40 Section 2.3: 10, 14, 16, 22, 26, 38, 40, 48 Section 2.4: 4, 18 2. Instructor’s Questions:

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Unformatted text preview: (a) Let f ( x ) = 2 x | x | if x <-2-1 if x =-2 4-x 2 if-2 < x < 1 2 if x = 1 2 x + 1 if x > 1 i. Sketch a graph of f . ii. Find f (-3), f (-2), f (0), f (1) and f (5). iii. Find the following limits, if they exist: A. lim x →-∞ f ( x ) B. lim x →-3 f ( x ) C. lim x →-2-f ( x ) 1 D. lim x →-2 + f ( x ) E. lim x →-2 f ( x ) F. lim x → 1-f ( x ) G. lim x → 1 + f ( x ) H. lim x → 1 f ( x ) I. lim x →∞ f ( x ) (b) Find constants a and b such that lim x → √ ax + b-2 x = 1 . Please show all your work. 2...
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A2-1087 - (a Let f x = 2 x | x | if x<-2-1 if x =-2 4-x 2...

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