TargetIIT

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i m getting c

remember that [y] + [-y] = -1 when y is not an integer.

sir, i asked coz in book ans. given is (b)...........so wat is correct ans??????


[hide]i m getting it as neither odd nor even[/hide]

i was trying to lead you to proving that its an odd function

i tried using f(x)+f(-x)=0 to check if its odd...........but concluded that it is not odd.........maybe i m doing some error .....plz provide ur solution

thnx

??

cos(-x)=cosx ... so lets conc only on Denominator

g(x)=[[frac]2x[/]π[/frac]]+[frac]1[/]2[/frac]
g(-x)=[[frac]-2x[/]π[/frac]]+[frac]1[/]2[/frac]
      =-[[frac]2x[/]π[/frac]]-1+[frac]1[/]2[/frac]
      =-[[frac]2x[/]π[/frac]]-[frac]1[/]2[/frac]
      =-([[frac]2x[/]π[/frac]]+[frac]1[/]2[/frac])
clearly g(x) is odd

=> f(x) is odd