`lim_(x->1^-)(1+(a r c c o s x)^(1-x))^2` has the value equal to

lim_(x->0;)(root(3)(1+3x) \ -1-x)/((1+x)^(101)-1-101 x) has the value equal to

If the lim_(x rarr0)(1)/(x^(3))((1)/(sqrt(1+x))-(1+ax)/(1+bx)) exists and has the value equal to l, then find the value of (1)/(a)-(2)/(l)+(3)/(b)

if lim_(x rarr0)(1+a cos2x+b cos4x)/(x^(4)) exists for all x in R and has the value equal to c. Find the value of 3(a+b+c)

The value of lim_(xrarr 0) (e^x+log (1+x)-(1-x)^-2)/(x^2) is equal to

The value of lim_(xrarr 0) (e^x+log (1+x)-(1-x)^-2)/(x^2) is equal to

("Lim")_(x->0^+)1/((1+"c o s e c"x)^(1/(ln(sinx)))) equals

lim_(x->oo)x(a r c t a n(x+1)/(x+2)-a r c t a n x/(x+2)) is equal to

If lim_(x rarr oo)((x+c)/(x-c))^(x)=4 then the value of e^(c) is 1/4 b.1/2 c.1 d.2

If: (lim_(x rarr1)(1+ax+bx^(2))^((c)/((x-1)))=e^(3), then the value of bc is