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Consider a function f:\mathbbN\to\mathbbR satisfying \[ f(1)+2f(2)+3f(3)+*s+xf(x)=x(x+1)f(x),\quad x\ge 2, \] with f(1)=1. Then \[ 1/f(2022)+1/f(2028) \] is equal to: | Watch the step-by-step video solution for this NIMCET PYQ.