The value of `(lim)_(nvecoo)(tan^(-1)x)))` is equal to `-1` (b) `pi/2` (c) `-1/(sqrt(2))` (d) `1/(sqrt(2))`

The value of lim_(x->oo)(int_0^x(tan^(-1)x)^2)/(sqrt(x^2+1))dx

The value of ("lim")_(xto1/(sqrt(2))) ((x-"cos" (sin^(-1)x))/ (1-tan(sin^(-1)x))) is (a) -1/(sqrt(2)) (b) 1/(sqrt(2)) (c) sqrt(2) (d) -sqrt(2)

lim_(x_vecoo)(e^(1/x^2)-1)/(2tan^-1(x^2)-pi) is equal to (a) 1 (b) -1 (c) 1/2 (d)-1/2

The value of lim_(xrarr1)(sqrtpi-sqrt(4tan^(-1)x))/(sqrt(1-x)) is equal to

The value of ("lim")_(xvec2)(sqrt(1+sqrt(2+x))-sqrt(3))/(x-2)i s (a) 1/(8sqrt(3)) (b) 1/(4sqrt(3)) (c) 0 (d) none of these

Differential coefficient of sec(tan^(-1)x) is (a) x/(1+x^2) (b) xsqrt(1+x^2) (c) 1/(sqrt(1+x^2)) (d) x/(sqrt(1+x^2))

The value of lim_(xrarr-oo)(x^(2)tan((1)/(x)))/(sqrt(4x^(2)-x+1)) is equal to

If y="sec"(tan^(-1)x), then (dy)/(dx) at x=1 is equal to: 1/(sqrt(2)) (b) 1/2 (c) 1 (d) sqrt(2)

If y="sec"(tan^(-1)x), then (dy)/(dx) at x=1 is equal to: 1/(sqrt(2)) (b) 1/2 (c) 1 (d) sqrt(2)

If cosx=(2cosy-1)/(2-cosy), where x , y in (0,pi) then tan(x/2)xxcot(y/2) is equal to (a) sqrt(2) (b) sqrt(3) (c) 1/(sqrt(2)) (d) 1/(sqrt(3))