`("lim")_(xvec0)1/xcos^(-1)((1-x^2)/(1+x^2))i se q u a lto` 1 (b) 0 (c) 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

int sin^(-1)((2x)/(1+x^(2)))dx is e q u a lto

If a (A) x=0 (B) x=1 (C) x=2 (D) None of these.

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

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

(lim)_(xvec0)((1-cos2x)(3+cosx)/(xtan4x) is equal to: (1) 4 (2) 3 (3) 2 (4) 1/2

(lim)_(nvecoo)1/x[int_y^a e^(sin^2t))dt-int_(x+y)^a e^(sin^2t))dt-]i se q u a lto (0,1] (b) [1,oo) (0,oo) (d) none of these

lim_(x rarr oo){(1)/(1-n^(2))+(2)/(1-n^(2))+(n)/(1-n^(2))} is equal to 0 (b) -(1)/(2)(c)(1)/(2)(d) none of these

tan((pi)/(4)+(1)/(2)cos^(-1)x)+tan((pi)/(4)-(1)/(2)cos^(-1)x),x!=0 is equal to x( b) 2x( c) (2)/(x) (d) none of these

The value of ("lim")_(xvec0)[1/n+(e^(1/n))/n+(e^(2/n))/n++(e^((n-1)/n))/n]i s 1 (b) 0 (c) e-1 (d) e+1