1.

Let [x] = greatest integer le x and {x} =x - [x], Let, f_(1)(x) = 2/pi [sin^(-1) (x) + cos^(-1)(x)] f_(2)(x) = sin^(2) (log_(5)x) + cos^(2) (log_(3)x) f_(3)(x) = sgn({x} +1) and f_(4)(x) = sec^(2) [{x}] - tan^(2) {[x]} sgn(x) = {{:(-1, if x lt 0),(0, if x=0),(1, if gt 0):} Then which of the follwing is not true?

Answer»

`f_(1) =f_(2)`
`f_(1) = f_(3)`
`f_(1) = f_(4)`
`f_(3) = f_(4)`

ANSWER :A


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