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Evaluate: ("lim")(nvec0)(1^1//sin^(2x)+2...

Evaluate: `("lim")_(nvec0)(1^1//sin^(2x)+2^1/(sin^(2x))++n^1//sin^(2x))^sin^(2x)`

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The value of lim_(xrarr0) {1^((1)/(sin^(2)x)+)2^((1)/(sin^(2)x))+3^((1)/(sin^(2)x))+.....+n^((1)/sin^(2)x)}^(sin^2x) , is