Consider the following limit 77-7x|x² - 11x| |x² - 121|-72 We can simplify this limit by rewriting it as an expression without absolute values as follows lim x-7 We can then cancel off a common factor in the numerator and denominator, thus simplifying our limit to lim x-7 lim x-7 lim x-7 We can then evaluate the limit directly and find that its value is 77-7x|x² - 11x| |x²-121-72 | 2/7

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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Consider the following limit
77-7x-x² - 11x|
|x² - 121|-72
We can simplify this limit by rewriting it as an expression without absolute values as follows
lim
x-7
lim
x-7
We can then cancel off a common factor in the numerator and denominator, thus simplifying our
limit to
lim
x-7
We can then evaluate the limit directly and find that its value is
77-7xx² - 11x|
|x²121|-72
lim
x-7
2/7
Transcribed Image Text:Consider the following limit 77-7x-x² - 11x| |x² - 121|-72 We can simplify this limit by rewriting it as an expression without absolute values as follows lim x-7 lim x-7 We can then cancel off a common factor in the numerator and denominator, thus simplifying our limit to lim x-7 We can then evaluate the limit directly and find that its value is 77-7xx² - 11x| |x²121|-72 lim x-7 2/7
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