Home
Class 12
MATHS
The function f(x)=sin""(pix)/(n!)-cos""(...

The function `f(x)=sin""(pix)/(n!)-cos""(pix)/((n+1)!)` is :

A

not periodic

B

periodic, with period 2(n!)

C

periodic with period (n+1)

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • FUNCTIONS

    MODERN PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS (LEVEL -II)|43 Videos
  • FUNCTIONS

    MODERN PUBLICATION|Exercise LATEST QUESTION FOR AIEEE/JEE EXAMINATIONS|4 Videos
  • FAMILY OF LINES

    MODERN PUBLICATION|Exercise QUESTION FROM KARNATAKA CET & COMED|5 Videos
  • HEIGHTS AND DISTANCES

    MODERN PUBLICATION|Exercise QUESTIONS FROM KARNATAKA CET & COMED|1 Videos

Similar Questions

Explore conceptually related problems

The period of the function : f(x)=3sin""(pix)/(3)+4cos""(pix)/(4) is :

The function f(x)=(x-a)"sin"(1)/(x-a) for x!=a and f(a)=0 is :

If the real valued function f(x)=(a^(x)-1)/(x^(n)(a^(x)+1)) is even then n equals

The function f(x) = sin^(4)x + cos^(4) x increases if

The function f(x) = tan^(-1) (sin x + cos x), x gt 0 is always an increasing function on the interval

The domain of the function defind by : f(x) =sin^(-1) x + cos x is :

The domain of the function defined by f(x)=cos^(-1)sqrt(x-1) is

Prove that the function f(x)= x^(n) is continuous at x= n, where n is a positive integer.

The smallest positive integral value of n such that [(1+"sin"pi/8+i"cos"(pi)/8)/(1+"sin"(pi)/8-i"cos"(pi)/8)]^(n) is purely imaginary is n=