a) lim (-3x³ + x² − 2x + 7) X→-1 x4 - 16 c) lim x 2 x² - 4 e) lim √x - 5 x→-5+ b) lim x→1 √x + 2-3 x-1 f) lim x →∞ (2 + x)² - 4 x²-x d) lim- x→1 x² + 2x - 4 5 - 4x³
a) lim (-3x³ + x² − 2x + 7) X→-1 x4 - 16 c) lim x 2 x² - 4 e) lim √x - 5 x→-5+ b) lim x→1 √x + 2-3 x-1 f) lim x →∞ (2 + x)² - 4 x²-x d) lim- x→1 x² + 2x - 4 5 - 4x³
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...
Related questions
Question
PLS HELP ASAP ON ALL ASKED QUESTIONS PLS.
Transcribed Image Text:27. Evaluate each limit, if it exists. Show all steps.
a)
lim (-3x³ + x² - 2x + 7)
X→-1
x4 16
c) lim
x 2 x² - 4
e)
lim √x - 5
x-5+
b) lim
x→1
d) lim
x→1
√x + 2-3
x 1
f)
(2 + x)² - 4
x² - x
x² + 2x - 4
lim
x →∞0 5- 4x³
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Step 1: Given a function and need to find its limit.
VIEWStep 2: Used direct substitution.
VIEWStep 3: Used left and right hand limits.
VIEWStep 4: Used factorization.
VIEWStep 5: Used factorization and left,right hand limits.
VIEWStep 6: Used right hand limits.
VIEWStep 7: Using the rules of infinite limits.
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