1.

Let 0 le beta_r le 1 and sum_(r=1)^(k) cos^(-1) beta_r =(kpi)/2 for any k ge 1 and A=sum_(r=1)^k (beta_r)^r , then lim_(x to A) ((1+x^2)^(1//3) -(1-2x)^(1//4))/(x+x^2) is equal to

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ANSWER :`0.50`


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