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The value of k for which the function f\left( x \right) = \left\ \matrix \left( 4 \over 5 \right)^\tan \,4x \over \tan \,5x\,\,, & 0 < x < π \over 2 \cr k + 2 \over 5\,\,\,, & x = π \over 2 \cr \right. is continuous at x = π \over 2, is : | Watch the step-by-step video solution for this NIMCET PYQ.