`("lim")_(xvecoo){1/(1-n^2)+2/(1-n^2)+n/(1-n^2)}i se q u a lto` 0 (b) `-1/2` (c) `1/2` (d) none of these

("lim")_(xvec0)("cos"(tanx)-cosx)/(x^4)i se q u a lto 1/6 (b) -1/3 (c) 1/2 (d) 1

If A+B+C=pi , then the value of the determinant D=|sin^2AcotA1sin^2BcotB1sin^2CcotC1|i se q u a lto 1 (b) -1 (c) 0 (d) None of these

(lim_(n rarr oo)[(2n)/(2n^(2)-1)(cos(n+1))/(2n-1)-(n)/(1-2n)(n(-1)^(n))/(n^(2)+1)]is1(b)-1(c)0(d) none of these

lim_(x rarr1)((1-x)(1-x^(2))...(1-x^(2n)))/({(1-x)(1-x^(2))...(1-x^(n))}^(2)),n in N, equals ^2nP_(n)(b)^(2n)C_(n)(c)(2n)!(d) none of these

lim_ (n rarr oo) [(1) / (1-n ^ (2)) + (2) / (1-n ^ (2)) + ... + (n) / (1-n ^ (2 ))] is

(lim_(n rarr oo)(1^(2)+2^(2)+3^(2)++n^(2))/(n^(3)) is equal to a.1b*c*1/3d.0

Find : lim_( n rarr oo) (2^(1/n - 1 )/ ( 2^(1/n) +1 ) ) (a) 1 (b) 1/2 (c) -1 (d) 0

lim _(n to oo) ( 1/(n^(2)+1^(2)) + 1/(n^(2)+2^(2)) +...1/(2n^(2))) equals

If A=[(1,1),(1,0)] and n epsilon N then A^n is equal to (A) 2^(n-1)A (B) 2^nA (C) nA (D) none of these