1.

Find underset(n to oo)lim x_(n) if (a) x_(n)=(sqrtn)/(sqrt(n+1)+sqrtn) (b) x_(n)=(sqrt(n^(2)+4n))/(root3(n^(3)-3n^(2)) (c) x_(n)=root3(1-n^(3))+n, (d) x_(n)=1/(2n)cos n^(3)-(3n)/(6n+1) (e) x_(n)=(2n)/(2n^(2)-1) cos ""(n+1)/(2n-1) -(n)/(1-2n) ""(n(-1)^(n))/(1-2n) (n^(2)+1) (f) x_(n)=(1+1/2+1/4+.....+(1)/2^(n))/(1+1/3+1/9+......+1/3^(n))

Answer»


ANSWER :`(a) 1/2 (B) 1; (C) 0; (d) -1/2`.


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