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WBJEE · Maths · Functions

Let \(f\) and \(g\) be periodic functions with the periods \(T_{1}\) and \(T_{2}\) respectively. Then \(f+g\) is

  1. A periodic with period \(\mathrm{T}_{1}+\mathrm{T}_{2}\)
  2. B non-periodic
  3. C periodic with the period \(\mathrm{T}_{1}\)
  4. D periodic when \(T_{1}=T_{2}\)
Verified Solution

Answer & Solution

Correct Answer

(D) periodic when \(T_{1}=T_{2}\)

Step-by-step Solution

Detailed explanation

\(\mathrm{f}+\mathrm{g}\) is a periodic function.