For a natural number n, let `a_n = int_0^(pi/4) (tanx)^(2n) dx`. Now answer the following que...
11 views · Published 11 October 2018 · 12:32 · Indexed 25 September 2026
Channel: Doubtnut · 2018 · Education
To ask Unlimited Maths doubts download Doubtnut from - https://goo.gl/9WZjCW For a natural number n, let `a_n = int_0^(pi/4) (tanx)^(2n) dx`. Now answer the following questions. Express (1) `a_(n+1)` in terms of `a_n` (2) Find `lim_(n- gtoo) a_n` (3) Find `lim_(n- gtoo) sum_(k=1)^n (-1)^(k-1) (a_k+a_(k-1))`
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