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xcosx is non periodic why?
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
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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