The period of the function f(x)=cosπxn!−sinπxn+1! is

Since sin x and cos x are periodic function with period 2π.∴ period of​cosπxn!=2ππn!=2(n!)and period of sinπx(n+1)! is 2(n+1)!∴ period of f(x) = L.C.M of2(n!),2(n+1)!=2(n+1)!