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

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

int e^(sin^(-1)x)((log_(e)x)/(sqrt(1-x^(2)))+(1)/(x))dx is equal to

lim_(x->oo)[sqrt(x+sqrt(x+sqrt(x)))-sqrt(x)] is equal to (a)0 (b) 1/2 (c) log 2 (d) e^4

lim_(xto0)(log(1+3x^(2)))/(x(e^(5x)-1)) =

If (lim)_(xvec0)(x^3)/(sqrt(a+x)(b x-sinx))=1,a >0t h e na+b is equal to a. 36 b. 37 c. 38 d. 40

' lim_ (x to 0) (a^(x)-b^(x))/(e^(x)-1) is equal to

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

Evaluate: ("lim")_(xvec0)((1-3^x-4^x+12^x))/(sqrt((2cosx+7)-3))

("lim")_(xvec0)((1+5x^2)/(1+3x^2))^1//x^2=____