4n^(2)-n

Find the term indicated in the following case : t_(n)=4^(n)+n^(2)-n+1 ,t_(3) .

Factorise: 4n^(2) - 8n +3

sum_(n=1)^(oo)tan^(-1)((8)/(4n^(2)-4n+1)) is equal to

Find underset(n to oo)lim x_(n) if (a) x_(n)=(3n^(2)+5n+4)/(2+n^(2) (b) x_(n)=(5n^(3)+2n^(2)-3n+7)/(4n^(3)-2n+11) (c) x_(n)=(4n^(2)-4n+3)/(2n^(3)+3n+4) (d) x_(n)=(1^(2)+2^(2)+.....+n^(2))/(5n^(3)+n+1)

lim_(n to oo)[(n)/(1+n^(2))+(n)/(4+n^(2))+(n)/(9+n^(2))+…+(1)/(2n^2)]=

Find lim_ (n rarr oo) (4n ^ (2) + 6n + 2) / (4) n ^ (2)

When a transition of electron in He^(+) takes place from n_(2)" to "n_(1) then wave number in terms of Rydberg constant R will be ("Given "n_(1)+n_(2)=4, n_(2)-n_(1)=2)

When a transition of electron in He^(+) takes place from n_(2)" to "n_(1) then wave number in terms of Rydberg constant R will be ("Given "n_(1)+n_(2)=4, n_(2)-n_(1)=2)

Evaluate lim_(ntooo) [(1+2+3+...+n)/(4n^2-3n+2)]