MathematicsMedium210×since 2002Q3293limn→∞12n(11−12n+11−22n+11−32n+ ... + 11−2n−12n)\mathop {\lim }\limits_{n \to \infty } {1 \over {{2^n}}}\left( {{1 \over {\sqrt {1 - {1 \over {{2^n}}}} }} + {1 \over {\sqrt {1 - {2 \over {{2^n}}}} }} + {1 \over {\sqrt {1 - {3 \over {{2^n}}}} }} + \,\,...\,\, + \,\,{1 \over {\sqrt {1 - {{{2^n} - 1} \over {{2^n}}}} }}} \right)n→∞lim2n11−2n11+1−2n21+1−2n31+...+1−2n2n−11 is equal toA12\frac{1}{2}21B1C2D−-−2Check answerSkip