`("lim")_(x vec 0)(sin(x^2))/(1n(cos(2x^2-x)))` is equal to (a) `2 `(b) `-2` (c) `1` (d) `-1`

("lim")_(xvecoo)(sin^4x-sin^2x+1)/(cos^4x-cos^2x+1) is equal to (a) 0 (b) 1 (c) 1/3 (d) 1/2

lim_(x->0)((xtan2x-2xtanx)/(1-cos2x)^2) is equal to

lim_(xto0) (1)/(x)cos^(1)((1-x^(2))/(1+x^2)) is equal to

lim_(x -0) (1 - cos 4x)/(x^(2)) is equal to

(lim)_(xrarr0)(sin(picos^2x)/(x^2)) is equal to (a) -pi (b) pi (c) pi/2 (d) 1

lim_(xvecoo)((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_(xvecoo)((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")_(x->oo)sum_(x=1)^(20)cos^(2n)(x-10) is equal to (a) 0 (b) 1 (c) 19 (d) 20

("lim")_(x to 0)(x^4((cot^4x-cot^2x+1)/(tan^4x-tan^2x+1)))"is equals to" (a)1 (b) 0 (c) 2 (d) none of these

lim_(xtooo) (sin^(4)x-sin^(2)x+1)/(cos^(4)x-cos^(2)x+1) is equal to