If `f(x)` is a periodic function with fundamental period 2 satisfies `f(1 + x) + f(1 - x) = 0AA|x|< l int_-20^(2n) [f(x)]`dx equals (Here `[x]` is greatest integer of x)

If f(x)=[2x+1]+[2-2x]+{x}+{-x} where [.] represents greatest integer function and {.} represents fractional function then (1) f(x) is a periodic functional with fundamental period =1 (2) f(x) has no fundamental period (3) Range of f(x) is {3,4} (4) Range of f(x) is {3}

Statement-1 : f(x) = [{x}] is a periodic function with no fundamental period. and Statement-2 : f(g(x)) is periodic if g(x) is periodic.

Statement-1 : f(x) = [{x}] is a periodic function with no fundamental period. and Statement-2 : f(g(x)) is periodic if g(x) is periodic.

Let f(x) and g(x) be two functions such that g(x)=([x]f(x))/([x]f(x)) and g(x) is a periodic function with fundamental time period 'T', then minimum value of 'T is

Let f(x) be a periodic function with period 'p' satisfying f(x)+f(x+3)+f(x+6)+...+f(x+42)=cons tan t AA x in R ,then sum of digits of 'p' is

Find the fundamental period of the following function: f(x)=1/(1-cosx)

Find the fundamental period of the following function: f(x)=1/(1-cosx)

Suppose that f is even, periodic function with period 2, and that f(x) = x for all x in the interval [0, 1]. Then draw the graph of y = f(x).

Suppose that f is even, periodic function with period 2, and that f(x) = x for all x in the interval [0, 1]. Then draw the graph of y = f(x).

Suppose that f is even, periodic function with period 2, and that f(x) = x for all x in the interval [0, 1]. Then draw the graph of y = f(x).