Let f(x)=sgn(x^(2)-4x+4+k^(2)),x in R. I...

Let `f(x)=sgn(x^(2)-4x+4+k^(2)),x in R.` If `f(x)` is discontinuous at exactly one point then the value of `(tan^(-1)k+cos^(-1)k+cos ec^(-1)(2k-1))` is equal to `(m pi)/(2)` where `m` is a whole number. Find the value of `m`

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