JEE Main 202225 Jul, Evening shiftMathematicsMediumIntegral Calculus369× since 2002limn→∞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→∞lim2n1(1−2n11+1−2n21+1−2n31+...+1−2n2n−11) is equal toAOption A. 12\frac{1}{2}21BOption B. 1COption C. 2DOption D. −-−2CheckSkip · show solution
