Let sequence `(a_(n))` be defined as `a_(1) = pi/4, a_(n) = int_(0)^(1//2)(cos(pix)+a_(n+1)) cos pixdx, (n = 2,3,4,"......")`then evaluate `lim_(n to

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Let sequence `(a_(n))` be defined as `a_(1) = pi/4, a_(n) = int_(0)^(1//2)(cos(pix)+a_(n+1)) cos pixdx, (n = 2,3,4,"......")`then evaluate `lim_(n to

Let sequence `(a_(n))` be defined as
`a_(1) = pi/4, a_(n) = int_(0)^(1//2)(cos(pix)+a_(n+1)) cos pixdx, (n = 2,3,4,"......")`then evaluate `lim_(n to oo) a_(n)`

Monjur Alahi

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2025-01-04 04:42

1 Answers

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Salim Ahmed Kawsar · Accepted Answer · 2023-02-05T15:29:48+06:00

Salim Ahmed Kawsar

Correct Answer - `(pi)/(4(pi-1))`

4 views Answered 2023-02-05 15:29