Let f k (x) = 1/k(sin ^(k)x + cos ^(k)x) for k = 1, 2, 3,... Then for all x R, the value of f₄(x) - f₆(x) is equal to

Sets, Relations and Functions: JEE Main 2019 Mathematics question

JEE Main 2019 · 11 Jan, Morning shift · Q3862

JEE Main 201911 Jan, Morning shiftMathematicsEasySets, Relations and Functions168× since 2002

Let f_k(x) =

{1 \over k}\left( {{{\sin }^k}x + {{\cos }^k}x} \right)

for k = 1, 2, 3, ... Then for all x

\in

R, the value of f₄(x)

-

f₆(x) is equal to