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If( 1 + x ) ^(n) =a_(0) + a _(1) x +a_(2) x^(2)+ ………. + a_(n)x^(n), then showthat(i)a_(0) - a_(2) + a_(4) - a_(6) + ……… = 2^(n//2) cos. (npi)/4 (ii)a _(1)a_(3) + a_(5) - a_(7) + …….. = 2^(n//2) sin . (npi)/4 |
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