`("lim")_(xvec0)(sin(x^2))/(1n(cos(2x^2-x)))i se q u a lto` 2 (b) `-2` (c) 1 (d) `-1`

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

lim_(x rarr0)(sin^(2)x(1-cos2x))/(x^(2))

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

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

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

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

The value of ("lim")_(xvec0)(e^(2x)-cos x-"ln"(1+2x))/(xtanx-sinx)i s 0 (b) 1 (c) 2 (d) 3

(lim)_(xvec0)((sqrt(1+x s in x)-sqrt(cos2x))/(tan^2(x//2))) is equal to 1/6 b. 6 c.3 d. 2

The value of the limit ("lim")_(xvec0)(a^(sqrt(x))-a^(1sqrt(x)))/(a^(sqrt(x))+a^(1sqrt(x))),a >1,i s 4 (b) 2 (c) -1 (d) 0

The value of ("lim")_(xvec1)(p/(1-x^p)-q/(1-x^q)),p ,q , in N , equal (a)(p+q)/2 (b) (p q)/2 (c) (p-q)/2 (d) sqrt(p/q)