suppose f(x)=3x^3-13x^2+14x-2.It is assu...

suppose `f(x)=3x^3-13x^2+14x-2.`It is assumed that `f(x)=0`will have three roots say `alpha,beta,gamma`. where`alpha`<`beta`<`gamma`then `(1)[alpha],[beta],[gamma]`(where,`[.]`denotes the greatest function ) willbe in. `(2)lim_(n->oo)alpha^(n!)*beta^(1/n)=?` `(3)tan^(-1)alpha+tan^(-1)beta+tan^(-1)gamma=?`

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