Advanced Placement Calculus 2016 Graphical Numerical Algebraic Fifth Edition Student Edition
5th Edition
ISBN: 9780133311617
Author: Prentice Hall
Publisher: Prentice Hall
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lim
x3 -1
is
x-1- x -1
А. — 3
B. no limit
C. 3 D. undefined
Е. О
What are limx→+-∞ k (k a constant) and limx→+-∞ (1/x)? How doyou extend these results to other functions? Give examples.
use L'Hôpital's Rule to find the limit. You may need to use L'Hôpital's Rule repeatedly. Answer 17-20.
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- a. What is the domain of f? Express your answer in interval notation. f(x)= 1 - x^4 / x^2 - 1 b. Use a sequence of values of x near a=1 to estimate the value of limx→1 f(x). The sequence should include values such as 1.01, 1.001, etc. c. Use algebra to simplify the expression 1 - x^4 / x^2 - 1 d. True or false: f(1)=-2 e. Based on all of your work above, construct an accurate, labeled graph of y=f(x) on the interval [0,2].arrow_forward#32.arrow_forwardFigure out that this statement is true or false? if is false explain why? by using example, and if it is true explain why? When lim x → a f ( x ) exists, the limit is always equal to f ( a ) - Is this statement true or false?arrow_forward
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