Questions
The period of the function
a
2 (n + 1)!
b
2 (n!)
c
(n + 1)
d
Not periodic
detailed solution
Correct option is A
Since sin x and cos x are periodic functions with period 2π.∴ Period of cosπxn!=2ππ/n!=2(n!) and period of sinπx(n+1)!=2ππ/(n+1)!=2(n+1)!∴ Period of f (x) = L.C.M. of {2 (n!), 2 (n + 1)!} = 2 (n + 1)!Talk to our academic expert!
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Which of the following functions is not periodic
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