_ x 0 (1^ 1/ ^2x +2^ 1/ ^2x + +n^ 1/ ^2x )^ ^2x

MATHEMATICS · Numerical · AP · Calculus AB · Limits and Continuity · Limits and Continuity

Problem

lim⁡x→0(11/sin⁡2x+21/sin⁡2x+⋯+n1/sin⁡2x)sin⁡2x\lim_{x\to0}\left(1^{1/\sin^2x}+2^{1/\sin^2x}+\dots+n^{1/\sin^2x}\right)^{\sin^2x}

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