Is there a value of n that will make the following function continuous at x = 0? Give reasons for the answer. f(x) = O B. sin ²14x 2 O C. n, X x#0 Select the correct choice below and, if necessary, fill in the answer box within your choice. O A. x = 0 There is a value of n that makes the function continuous at x = 0 because lim f(x) = X-0 (Type an exact answer, using radicals as needed.) 2 sin 14x There is no solution because lim f(x) = X→0 2 x² 214x 2 sin There is no solution because lim f(x) = - x-0 X exists, but is not a real number. does not exist. 2 sin ²14x 2 X exists and is equal to n =

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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Is there a value of n that will make the following function continuous at x = 0? Give reasons for the answer.
f(x) =
O B.
sin ²14x
2
O C.
n,
X
x#0
Select the correct choice below and, if necessary, fill in the answer box within your choice.
O A.
x = 0
There is a value of n that makes the function continuous at x = 0 because lim f(x) =
X-0
(Type an exact answer, using radicals as needed.)
2
sin 14x
There is no solution because lim f(x) =
x→0
There is no solution because lim f(x) =
x-0
2
x²
214x
2
sin
X
exists, but is not a real number.
does not exist.
2
sin ²14x
2
X
exists and is equal to n =
Transcribed Image Text:Is there a value of n that will make the following function continuous at x = 0? Give reasons for the answer. f(x) = O B. sin ²14x 2 O C. n, X x#0 Select the correct choice below and, if necessary, fill in the answer box within your choice. O A. x = 0 There is a value of n that makes the function continuous at x = 0 because lim f(x) = X-0 (Type an exact answer, using radicals as needed.) 2 sin 14x There is no solution because lim f(x) = x→0 There is no solution because lim f(x) = x-0 2 x² 214x 2 sin X exists, but is not a real number. does not exist. 2 sin ²14x 2 X exists and is equal to n =
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