Published by:
CGP EDU Academic Team
Published on: August 13, 2026
Let 
for all real x. The least natural number n such that 
for all real values of x is
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
6
Period of 
Period of 
LCMof 
Therefore, the period of f (x) = 60 
Hence, n = 6.
Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems
If f (x) + 2f (1 - x) = 6x , then the value of is equal to
If is a surjective function, then the value of is equal to
If f : R R is a function satisfying the equation f (3x + 1) + f (3x + 10) = 10, , then the period…
The domain of definition of the function is
Let be a periodic function such that where T is a fixed positive number, then period of f(x) is
If f(x) = cos (ln x), then is equal to