Let `C_n` be a circle of radius `(2/3)^n` centered at the origin for `n = 0, 1, 2,....... an

25 views · Published 13 October 2018 · 3:56 · Indexed 1 October 2026

Channel: Doubtnut · 2018 · Education

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To ask Unlimited Maths doubts download Doubtnut from - https://goo.gl/9WZjCW  Let `C_n` be a circle of radius `(2/3)^n` centered at the origin for  `n = 0, 1, 2,....... and A_n` be the area of the region that is inside the circle `C_(2n)` and outside the circle `C_(2n+1)` for `n = 0, 1, 2,......`.The value of the `sum_(n=0)^oo A_n` equals

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