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" The value of "lim(n rarr oo)a(n)" when...

" The value of "lim_(n rarr oo)a_(n)" when "a_(n+1)=sqrt(2+a_(n)),n=1,2,3,....." is "

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Solve lim_(n rarr oo)a_(n), when a_(n+1)=sqrt(2+a_(n)),n=1,2,3dots

If Lt_(ntooo)a_(n)=l" where "a_(n+1)=sqrt(2+a_(n)),n = 1,2,3...., find the value of l.

The Sequence {a_(n)}_(n=1)^(+oo) is defined by a_(1)=0 and a_(n+1)=a_(n)+4n+3,n>=1 . Find the value of lim_(n rarr+oo)(sqrt(a_(n))+sqrt(a_(4n))+sqrt(a_(4^(2)n))+sqrt(a_(4^(3)n))+......+sqrt(a_(4^(10)n)))/(sqrt(a_(n))+sqrt(a_(2n))+sqrt(a_(2^(2)n))+sqrt(a_(2^(3)n))+.....+sqrt(a_(2^(10)n)))

If n is a positive integer,then find the value of lim_(n rarr oo)(a_(0)x^(n)+a_(1)x^(n-1)+...+a_(n))/(b_(0)x^(n)+b_(1)x^(n-1)+...+b_(n))

If n is a positive integer,then find the value of lim_(n rarr oo)(a_(0)x^(n)+a_(1)x^(n-1)+...+a_(n))/(b_(0)x^(n)+b_(1)x^(n-1)+...+b_(n))

Prove that lim_(n rarr oo)a_(n)=-(1)/(4), where a_(n)=n^(2),(sqrt(1+(1)/(n))+sqrt(1-(1)/(n))-2) for n in N.

Let be a sequence such that lim_(x rarr oo)a_(n)=0. Then lim_(n rarr oo)(a_(1)+a_(2)++a_(n))/(sqrt(sum_(k=1)^(n)k)), is