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For a\in R (the set of al real numbers), a \ne 1, \lim _n\rightarrow\infty\frac(1^a+2^a+\ldots+n^a)(n+1)^a-1\lbrack(na+1)+(na+2)+\ldots+(na+n)\rbrack=1/60 . Then one of the value of a is | Watch the step-by-step video solution for this NIMCET PYQ.