A circular disk of unit radius is filled with a number of smaller circular disks arranged in th...
529 views · Published 11 October 2018 · 6:06 · Indexed 1 October 2026
Channel: Doubtnut · 2018 · Education
To ask Unlimited Maths doubts download Doubtnut from - https://goo.gl/9WZjCW A circular disk of unit radius is filled with a number of smaller circular disks arranged in the form of hexagon. Let `A_n` denotes a stack of disks arranged in the shape of a hexagon having 'n' disks on a side. The figure shows the configuration `A_3`. If A be the area of large disk, `S_n` be the number of disks in `A_n` configuration and `r_n` be the radius of each disk in `A_n` configuration, then `lim_(n- gtoo)(S_n)/n^2` `lim_(n- gtoo) nr_n`
More from this channel
-
4:30
IIT JEE APPLICATION OF DERIVATIVES Find the equation of tangent to the curve
`y=sin^(-1)(2x)/(1+...
-
2:28
IIT JEE LIMITS AND DERIVATIVES Evaluate:
`("lim")_(xrarr0)(sinx^0)/x`
-
3:15
IIT JEE LIMITS AND DERIVATIVES Evaluate:
`("lim")_(xvec2)(x-2)/((log)_a(x-1))`
-
4:29
IIT JEE LIMITS AND DERIVATIVES Evaluate the limit:
`("lim")_(xvecoo)((x+2)/(x+1))^(x+3)`
-
3:50
`A D` and `B E` are respectively altitudes of an isosceles triangle `A B C` with `A C=B C` . Pro...
-
4:19
IIT JEE PERMUTATIONS AND COMBINATIONS Find the number of distinct rational numbers `x`
such that ...
-
2:15
IIT JEE PERMUTATIONS AND COMBINATIONS Find the sum of the series `sum_(r=1)^n rxxr !dot`
-
2:47
JEE MAINS 2018 Find the points of local maxima and local minima,
if any, of each of the follo...