The extreme values of the function `f(x)=[cos x-1]+[cos 2x-1]+[cos 3x-1]+........[cosnx-1]x in [-pi/2,pi/2],n in N,` are ([.] denotes G.I.F.)

The period of the function f(x)=e^(x-[x]+|cos pi x|+|cos2 pi x|+...|cos n pi x|) is

The period of the function f(x)=cos(pi(x)/(n!))-sin(pi(x)/((n+1)!)) is

If f(x) = cos x\ cos 2x\ cos 2^2\ x\ cos 2^3 x\ ....cos2^(n-1) x and n gt 1, then f'(pi/2) is

If f(x) = cos x cos 2x cos 2^2 x cos^(2^3) x .....cos 2^(n-1) x and n gt 1 then f^(1)(pi/2) is

The period of f(x)=e^(x)-[x||cos(pi x ) | + |cos(2 pi x)| + ........|cos( n pi x)|) (where [.] is G.I.F) is

If [x] denotes the greatest integer function then the extreme values of the function f(x)=[1+sinx]+[1+sin2x]+...+[1+sin nx], n in I^(+), x in (0,pi) are

If [x] denotes the greatest integer function then the extreme values of the function f(x)=[1+sinx]+[1+sin2x]+...+[1+sin nx], n in I^(+), x in (0,pi) are

If (x)=(cos x+i sin x)(cos3x+i sin3x)...(cos(2n-1)x+i sin(2n-1)x) then f(x) is