For each limit, verify that the function is continuous on its domain, then use direct substitution to findthe limit.a. limx→1 ln(2x−1)b. limx→3x + 2x2 + 2xc. limx→−π/2 3cos(x)d. limx→π/3 sin2 (π sin2(x))e. limx→1√x|x − 3|

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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For each limit, verify that the function is continuous on its domain, then use direct substitution to find
the limit.
a. lim
x→1 ln(2x−1)
b. lim
x→3
x + 2
x2 + 2x
c. lim
x→−π/2 3cos(x)
d. lim
x→π/3 sin2 (
π sin2(x)
)
e. lim
x→1
√x
|x − 3|

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