6. а. Suppose N and D are positive numbers. What happens to the value of if N is constant and D→ 0? b. Suppose N is a positive number. Evaluate the following limits. When possible, be more specific than just DNE. (1) lim x»a* X-a N (2) lim x→a¯ X-a N lim x>a x-a fonut o (4) lim (x-a) (5) lim (x-a) N (6) lim :- c. Based on (1) - (3) above, sketch the behavior of the graph of f (x)= %3D near x = a. D-x etimil ga d. Based on (4)-(6) above, sketch the behavior of the graph of f(x)=- N near x = a. L(-a) e. How would the graphs in part d change if N were a negative number?

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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6. a.
Suppose N and D are positive numbers. What happens to the value of
if N is
D
constant and D→ 0?
mit bao
b. Suppose N is a positive number. Evaluate the following limits. When possible, be more
specific than just DNE.
N
(1) lim
x→a* X-a
(2) lim
x>a X-a
(3) lim-
x→a X– a
N
(4) lim
x>a*
(5) lim
N
(6) lim
(x-a)
2
(x-a)
mil
2
(x-a)
x→a
1ovio
c. Based on (1) – (3) above, sketch the behavior of the graph of f (x)=
%3D
near x = a.
X- a
tatimil
go
ollol ate
d. Based on (4) -(6) above, sketch the behavior of the graph of f (x)%3D
near x a.
(x-a)°
mil
e. How would the graphs in part d change if N were a negative number?
Transcribed Image Text:6. a. Suppose N and D are positive numbers. What happens to the value of if N is D constant and D→ 0? mit bao b. Suppose N is a positive number. Evaluate the following limits. When possible, be more specific than just DNE. N (1) lim x→a* X-a (2) lim x>a X-a (3) lim- x→a X– a N (4) lim x>a* (5) lim N (6) lim (x-a) 2 (x-a) mil 2 (x-a) x→a 1ovio c. Based on (1) – (3) above, sketch the behavior of the graph of f (x)= %3D near x = a. X- a tatimil go ollol ate d. Based on (4) -(6) above, sketch the behavior of the graph of f (x)%3D near x a. (x-a)° mil e. How would the graphs in part d change if N were a negative number?
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