lim x→0 3x² - 1 x-1 by L'Hospital's rule we differentiate numerator and and obtain 6x/1 and now substitute x = O. However, if we look at the original function, we see denominator at once that as x approaches 0 the function approaches 1. Why the discrepancy in the answers?

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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2. To evaluate
Transcribed Image Text:2. To evaluate
lim
x→0
3x² - 1
x-1
by L'Hospital's rule we differentiate numerator and
and obtain 6x/1 and now substitute x =
O. However, if we look at the original function, we see
denominator
at once that as x approaches 0 the function approaches
1. Why the discrepancy in the answers?
Transcribed Image Text:lim x→0 3x² - 1 x-1 by L'Hospital's rule we differentiate numerator and and obtain 6x/1 and now substitute x = O. However, if we look at the original function, we see denominator at once that as x approaches 0 the function approaches 1. Why the discrepancy in the answers?
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