`(lim)_(xvecoo)x^2sin((log)_esqrt(cospi/x))` a. 0 b. `(pi^2)/2` c. `(pi^2)/4` d. `(pi^2)/8`

(lim)_(xvecpi/2)((1-s in x)(8x^3-pi^3)cos x)/((pi-2x)^4) (pi^2)/6 b. (3pi^2)/(16) c. (pi^2)/(16) d. -(3pi^2)/(16)

int_0^pi(xtanx)/(secx+cosx)dxi s (pi^2)/4 (b) (pi^2)/2 (c) (3pi^2)/2 (d) (pi^2)/3

lim_(xto pi)(sin3x)/(sin2x)

The smallest positive x satisfying the equation (log)_(cosx)sinx+(log)_(sinx)cosx=2 is pi/2 (b) pi/3 (c) pi/4 (d) pi/6

The smallest positive value of x (in radians) satisfying the equation (log)_(cosx)((sqrt(3))/2sinx)=2-(log)_(secx)(tanx) is (a) pi/(12) (b) pi/6 (c) pi/4 (d) pi/3

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

The value of ("lim")_(xveca)sqrt(a^2-x^2)cotpi/2sqrt((a-x)/(a+x)) is (2a)/pi (b) -(2a)/pi (c) (4a)/pi (d) -(4a)/pi

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

lim_(x->0)sin^2(pi/(2-p x))^(sec^2((pi/(2-q x)))

("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