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

If lim_(xrarr0)(x^3)/(sqrt(a+x)(bx-sinx))=1,agt0 , then a+b is equal to

(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

If lim_(x to 0) (x(1 + a cos x)-b sinx)/(x^3) = 1 , then the value of ab is euqal to

If lim_(x rarr0)(cos x+a sin bx)^((1)/(x))=e^(2), then (a,b) is equal to

Given that lim_(x to oo)(int_(0)^(x)(t^(2))/(sqrt(a+t))dt)/(bx-sinx) = 1 , then find the values of a and b.

(lim_(x rarr))_(xvec 0)(1-cos^(3)x)/(x sin x cos x) is equal to 3 b.(1)/(2) c.(3)/(2) d.-(3)/(2)

"If" I=int_0^x(t^2dt)/((x-sinx)sqrt(a+t))a n d(lim)_(xvec0)I=1, then a is equal to : 1 (2) 2 (3) 4 (4) 0 (5) 3

lim_(xrarr0^-)(sinx)/(sqrt(x)) is equal to