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xcosx is non periodic why?

xcosx is non periodic why?

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2 Answers

Nishant Chandrashekar
18 Points
9 years ago

For a function to be periodic ,

f(x)=f(x+T)      Where T is the period of the function

for ex:    sinx=sin(x+2∏)      where 2∏ is the period

KUMAR PRASSU
43 Points
9 years ago

for any function to be periodic f(x)=f(x+t)

where t is period 

coming to question xcosx 

if u replce x by x+t u get (x+t)cos(x+t)

xcos(x+t)+tcos(x+t)=xcosx

this is possible only if t=0 therefore no period 

therefore given function is non periodic

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