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

lim_(xto0)(sqrt(1-cos2x))/x

Evaluate lim_(xto0) (sqrt(1 + sin x) - sqrt(1 - sin x))/(tan x)

lim_(xto0)(sin2x)/(1-sqrt(1-x))

("lim")_(xvec0)(sin(x^2))/(1n(cos(2x^2-x)))is equal to 2 (b) -2 (c) 1 (d) -1

(lim)_(xvec0)("log"(e^x^2+2sqrt(x)))/(t a nsqrt(x)) is equal to 0 b. 1 c. 2 d. e^2

lim_(xto 1^-) (sqrtpi-sqrt(2sin^-1x))/(sqrt(1-x)) is equal to

Evaluate: ("lim")_(xvecoo)(sqrt(3x^2-1)-sqrt(2x^2-1))/(4x+3)

(lim)_(xvec0^+)1/(xsqrt(x))("a t a n"^(-1)(sqrt(x))/a-btan^(-1)(sqrt(x))/b) has the value equal to (a-b)/3 b. 0 c. ((a^2-b^2))/(6a^2b^2) d. (a^2-b^2)/(3a^2b^2)