onsider the following limit. lim Ax 0 m <->0 pand the numerator, combine like terms, and simplify the rational expression as much as possible. (Use A as (x + Ax)² - 7(x + Ax) + 5- (x² - 7x + 5) Ax = lim Δx-10 (x + Ax)² - 7(x + Ax) + 5 − (x² − 7x + 5) Ax nd the limit.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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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.
lim
Ax→0
lim
Ax→0
Expand the numerator, combine like terms, and simplify the rational expression as much as possible. (Use A as needed.)
(x + Ax)² − 7(x + Ax) + 5 − (x² − 7x + 5)
Ax
(x + Ax)² − 7(x + Ax) + 5 − (x² − 7x + 5)
Ax
Find the limit.
=
lim
Ax→ 0
Transcribed Image Text:Consider the following limit. lim Ax→0 lim Ax→0 Expand the numerator, combine like terms, and simplify the rational expression as much as possible. (Use A as needed.) (x + Ax)² − 7(x + Ax) + 5 − (x² − 7x + 5) Ax (x + Ax)² − 7(x + Ax) + 5 − (x² − 7x + 5) Ax Find the limit. = lim Ax→ 0
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