Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.3: Trigonometric Functions Of Real Numbers
Problem 67E
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Equations and Inequations
Equations and inequalities describe the relationship between two mathematical expressions.
Linear Functions
A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.
Question
![Is there a value of n that will make the following function continuous at x = 0? Give reasons for the answer.
sin215x
X+0
f(x) =.
x2
X= 0
Select the correct choice below and, if necessary, fill in the answer box within your choice.
O A.
sin 15x
2.
There is a value of n that makes the function continuous at x = 0 because lim f(x) =
exists and is equal to n =
(Type an exact answer, using radicals as needed.)
В.
sin 15x
2.
There is no solution because lim f(x) =
exists, but is not a real number.
OC.
2,
sin15x
There is no solution because lim f(x) =
does not exist.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F56824cd9-04a5-414d-ad82-3e5df2058b7c%2F5a37ba20-e8fd-49a9-ba8c-ee4e876a3f72%2F4ytwhzp_processed.jpeg&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.
sin215x
X+0
f(x) =.
x2
X= 0
Select the correct choice below and, if necessary, fill in the answer box within your choice.
O A.
sin 15x
2.
There is a value of n that makes the function continuous at x = 0 because lim f(x) =
exists and is equal to n =
(Type an exact answer, using radicals as needed.)
В.
sin 15x
2.
There is no solution because lim f(x) =
exists, but is not a real number.
OC.
2,
sin15x
There is no solution because lim f(x) =
does not exist.
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