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Determine the following limits: (a) 42³-19z²+12z lim x 0 7x³-23x2-20x Number (b) 423-192²+12x lim x 4 7x³-23x2 20x Number (c) 423-1922+12r lim x 6 7x³-23r2-20x Number (d) 423-192² +12r lim 100 723-23x²-20x Number

Determine the following limits: (a) 42³-19z²+12z lim x 0 7x³-23x2-20x Number (b) 423-192²+12x lim x 4 7x³-23x2 20x Number (c) 423-1922+12r lim x 6 7x³-23r2-20x Number (d) 423-192² +12r lim 100 723-23x²-20x Number

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Determine the following limits: (a) 4x3-19r²+12r lim r0 7x³-23x2-20x Number (b) 42³-192² +12r lim x 4 7x³-23x2-20x Number (c) 423-1922 +12r lim x 6 7x³-23x2-20x Number (d) 42³-191²+12x lim 100 72³-23x2-20r Number
Transcribed Image Text:Determine the following limits: (a) 4x3-19r²+12r lim r0 7x³-23x2-20x Number (b) 42³-192² +12r lim x 4 7x³-23x2-20x Number (c) 423-1922 +12r lim x 6 7x³-23x2-20x Number (d) 42³-191²+12x lim 100 72³-23x2-20r Number
Expert Solution
Step 1: The given limits are:

open parentheses a close parentheses space limit as x rightwards arrow 0 of fraction numerator 4 x cubed minus 19 x squared plus 12 x over denominator 7 x cubed minus 23 x squared minus 20 x end fraction open parentheses b close parentheses space limit as x rightwards arrow 4 of fraction numerator 4 x cubed minus 19 x squared plus 12 x over denominator 7 x cubed minus 23 x squared minus 20 x end fraction open parentheses c close parentheses space limit as x rightwards arrow 6 of fraction numerator 4 x cubed minus 19 x squared plus 12 x over denominator 7 x cubed minus 23 x squared minus 20 x end fraction open parentheses d close parentheses space limit as x rightwards arrow infinity of fraction numerator 4 x cubed minus 19 x squared plus 12 x over denominator 7 x cubed minus 23 x squared minus 20 x end fraction

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