lim_(x rarr oo)((1)/(a(a+d))+(3)/((a+d)(a+2d))+(1)/((a+2d)(a+3d))+...." to "n" terms ")(a>d,d>0

lim_(x rarr oo){(1)/(a(a+d))+(1)/((a+d)(a+2d))+(1)/((a+2d)(a+3d))+............ nterms

Lt_(x to oo) ((1)/(a(a+d))+(1)/((a+d)(a+2d))+.....+(1)/([a+(n-1)d][a+nd]))=

(ii) sum of series of form (1)/(a(a+d))+(1)/((a+d)(a+2d))+(1)/((a+2d)(a+3d))+......(1)/((a+(n-2)d)(a+(n-1)d))

lim_ (n rarr oo) int_ (0) ^ (2) (1+ (t) / (n + 1)) ^ (n) d

lim_(x rarr oo)(1)/(1+n sin^(2)nx)is equal to -1 (b) 0 (c) 1 (d) oo

(lim)_(n rarr oo)(n!)/((n+1)!+n!) is equal to a.1b0c*2d.(1)/(2)

lim_(x rarr oo)(x(log x)^(3))/(1+x+x^(2)) equal 0(b)-1(c)1(d) none of these

let a > 0 , d > 0 find the value of the determinant |[1/a,1/(a(a + d)),1/( (a + d) (a +2d))],[1/(a+ d),1/( (a+ d) (a + 2d)), 1/((a+2d) (a + 3d))],[1/(a +2d), 1/((a + 2d) (a +3d)), 1/((a+3d) (a + 4d))]|

let a>0,d>0 find the value of the determinant (1)/(a)_((1)/(a(a+d))),(1)/((a+d)(a+2d))(1)/(a+d),(1)/((a+d)(a+2d)),(1)/((a+2d)(a+3d))(1)/(a+2d),(1)/((a+2d)(a+3d)),(1)/((a+3d)(a+4d))]|

let a > 0 , d > 0 find the value of the determinant |[1/a,1/(a(a + d)),1/( (a + d) (a +2d))],[1/(a+ d),1/( (a+ d) (a + 2d)), 1/((a+2d) (a + 3d))],[1/(a +2d), 1/((a + 2d) (a +3d)), 1/((a+3d) (a + 4d))]|