For the sake of periodicity- Part 4

Geometry Level 3

If f ( x ) f(x) and g ( x ) g(x) are periodic functions, then f ( x ) + g ( x ) f(x)+g(x) is also periodic.

Clarification: Constant function is also considered as periodic.

False True

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Sandeep Bhardwaj by Sandeep Bhardwaj , 28, India

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2 solutions

Mohamad Zare
Jul 26, 2015

f(x)= Sin(πx) + Cos(x) So f(x+t)=f(x) so Sin(πx+πt) + Cos(x+t)= Sin(πx) + Cos(x) T1=2,4,6,... T2=2π,4π,6π,... So they dont have any subscription!

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Alex Li
Jun 30, 2015

The function h ( x ) = sin ⁡ ( x ) + sin ⁡ ( π x h(x)=\sin(x)+\sin(\pi x ) is not periodic.

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