Is there a value of n that will make the following function continuous at x= 0? Give reasons for the answer. ²13x x#0 sin f(x) = x? n, x= 0 Select the correct choice below and, if necessary, fill in the answer box within your choice. O A. sin213x There is a value of n that makes the function continuous at x = 0 because lim f(x) = exists and is equal to n= x-0 (Type an exact answer, using radicals as needed.) OB. sin 13x There is no solution because lim f(x) = exists, but is not a real number. OC. sin213x There is no solution because lim f(x) = does not exist. x-0
Is there a value of n that will make the following function continuous at x= 0? Give reasons for the answer. ²13x x#0 sin f(x) = x? n, x= 0 Select the correct choice below and, if necessary, fill in the answer box within your choice. O A. sin213x There is a value of n that makes the function continuous at x = 0 because lim f(x) = exists and is equal to n= x-0 (Type an exact answer, using radicals as needed.) OB. sin 13x There is no solution because lim f(x) = exists, but is not a real number. OC. sin213x There is no solution because lim f(x) = does not exist. x-0
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
![Is there a value of n that will make the following function continuous at x= 0? Give reasons for the answer.
²13x
x#0
sin
f(x) =
x?
n,
x= 0
Select the correct choice below and, if necessary, fill in the answer box within your choice.
O A.
sin213x
There is a value of n that makes the function continuous at x = 0 because lim f(x) =
exists and is equal to n=
x-0
(Type an exact answer, using radicals as needed.)
OB.
sin 13x
There is no solution because lim f(x) =
exists, but is not a real number.
OC.
sin213x
There is no solution because lim f(x) =
does not exist.
x-0](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1a32a18e-f15e-401d-9928-7197056e9550%2F2aea8bbc-4fd3-4169-88d4-087739ff52ff%2Fq3vsmna_processed.png&w=3840&q=75)
Transcribed Image Text:Is there a value of n that will make the following function continuous at x= 0? Give reasons for the answer.
²13x
x#0
sin
f(x) =
x?
n,
x= 0
Select the correct choice below and, if necessary, fill in the answer box within your choice.
O A.
sin213x
There is a value of n that makes the function continuous at x = 0 because lim f(x) =
exists and is equal to n=
x-0
(Type an exact answer, using radicals as needed.)
OB.
sin 13x
There is no solution because lim f(x) =
exists, but is not a real number.
OC.
sin213x
There is no solution because lim f(x) =
does not exist.
x-0
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