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Question: Answered & Verified by Expert
Let $f$ and $g$ be periodic functions with the periods $T_{1}$ and $T_{2}$ respectively. Then $f+g$ is
MathematicsFunctionsWBJEEWBJEE 2021
Options:
  • A periodic with period $\mathrm{T}_{1}+\mathrm{T}_{2}$
  • B non-periodic
  • C periodic with the period $\mathrm{T}_{1}$
  • D periodic when $T_{1}=T_{2}$
Solution:
2872 Upvotes Verified Answer
The correct answers are: periodic when $T_{1}=T_{2}$
$\mathrm{f}+\mathrm{g}$ is a periodic function.

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