Period of a Function
Trending Questions
Q. The fundamental period of the function f(x)=2cos 13(x−π) is
- 6 π
- 4 π
- 2 π
- π
Q. If a function satisfies (x−y)f(x+y)−(x+y)f(x−y)=2(x2y−y3)∀x, y∈R and f(1)=2, then
- f(0)=2
- f(x) must be a quadratic function
- If f:R+→R+ then f(x) is an invertible function.
- f(x) is a periodic function
Q. If f(x)+f(x+4)=f(x+2)+f(x+6)∀xϵ R and a>0 and f(x) is periodic, then period of f(x), is
- 8
- 1
- 6
- 10
Q. If f (x) +f (x+a) + f(x+2a) +....+ f (x+na) = constant; ∀x ϵR and a>0 and f(x) is periodic, then period of f(x), is
- (n+1) a
- en+1a
- na
- ena
Q. The period of the function sin 3x + {x} (where {.} is fractional part of x)
- 2π3
- 2π
- π6
- Does not exist
Q. If f(x)is an odd periodic function with period 2, then f(4) equals
- \N
- 2
- 4
- -4