Fundamental period of the function fx-sin-x is

Name: JEE- Grade 12- Mathematics- Relations and Functions- Session 09- W04
Uploaded: 2022-07-04T10:36:42+05:30
Description: F(x)=sin√(x) Domain of f(x) is x≥ 0, domain is not equal to ℝ, So f(x) nbsp;is not a periodic function ...

F(x)=sin√(x) Domain of f(x) is x≥ 0, domain is not equal to ℝ, So f(x) nbsp;is not a periodic function ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard XII

Mathematics

Properties of Periodic Function

Fundamental p...

Question

Fundamental period of the function $f (x) = sin \sqrt{x}$ is

\sqrt{π}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

2 π

No worries! We‘ve got your back. Try BYJU‘S free classes today!

π

No worries! We‘ve got your back. Try BYJU‘S free classes today!

None of these

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Open in App

Solution

The correct option is D None of these
$f (x) = sin \sqrt{x}$
Domain of $f (x)$ is $x \geq 0$ , domain is not equal to $R$ , So $f (x)$
is not a periodic function

Suggest Corrections

Similar questions

Q. Let

f (x) = sin \sqrt{[a]} x

( where

[]

denotes the greatest integer function). If

f

is periodic with fundamental period

π

, the

a

belongs to

Q. Fundamental period of the function

f (x) = | sin π x |

Q. Fundamental period of the function

f (x) = {sin}^{100} x

Q. Fundamental period of the function

f (x) = cos (2 π {2 x})

is, where

{x}

fractional part of

x

Q. The fundamental period of the function

y = sin x

Join BYJU'S Learning Program

Explore more

Properties of Periodic Function

Standard XII Mathematics

Join BYJU'S Learning Program

Fundamental period of the function f(x)=sin√x is

The correct option is D None of thesef(x)=sin√x Domain of f(x) is x≥0, domain is not equal to R, So f(x) is not a periodic function

Fundamental period of the function $f (x) = sin \sqrt{x}$ is

The correct option is D None of these
$f (x) = sin \sqrt{x}$
Domain of $f (x)$ is $x \geq 0$ , domain is not equal to $R$ , So $f (x)$
is not a periodic function