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Find whether the given function is even ...

Find whether the given function is even or odd: `f(x)=(x(sinx+tanx)/([x/pi]-1/2);` whether `[]` denotes the greatest integer function.

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The correct Answer is:
f(x) is an odd function (if x `ne npi`).
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ARIHANT MATHS-FUNCTIONS-Exercise (Questions Asked In Previous 13 Years Exam)
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  15. If f:[0,infty) rarr [0,infty) " and " f(x)=x/(1+x), then f is

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  18. Suppose f(x)=(x+1)^2forxgeq-1. If g(x) is the function whose graph is ...

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  19. If f:[1,infty) rarr [2,infty) is given by f(x)=x+1/x, " then " f^(-1)(...

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  20. Let f(x0=(1+b^(2))x^(2)+2bx+1 and let m(b) be the minimum value of f(x...

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  21. The domain of definition of function of f(x)=(log(2)(x+3))/(x^(2)+3x+2...

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