If `("lim")_(xvec0)((1+a^3)+8e^(1/x))/(1+(2+b+b^2)e^(1/x))=2,` where `a ,b in R ,` then the possible ordered pair (a,b) is `(2,-2)` (b) `(1,-2)` `(1,1)` (d) `(-1,1)`

lim_(x to0) ((1+a^(3))+8e^(1//x))/(1+(1-b^(3))e^(1//x))=2 " then "-

If lim_(x rarr oo)((1+a^(3))+8e^((1)/(x)))/(1+(1-b^(3))e^((1)/(x)))=2, then there

lim_(x to 0) (1+ax)^(b/x) =e^(2) , " where" a, b in N such that a+ b = 3 , then the value of (a,b) is

The probability for which ("lim")_(xvec0)(ln((cosx)^a))/(x^b) exists finitely, where (a, b) is the possible outcome of throwing a pair of normal dice, is 1/6 (b) 1/3 (d) 2/3 (d) 3/4

if lim_(x rarr0)(1+ax)^((b)/(x))=e^(2), where a and b are natural numbers,then

The value of ("lim")_(xvec0)[1/n+(e^(1/n))/n+(e^(2/n))/n++(e^((n-1)/n))/n]i s 1 (b) 0 (c) e-1 (d) e+1

If the value limit lim_(x rarr0)((1+x)^(1/x)-e+(ex)/(2))/(x^(2))=( Ae)/(B) where A and B are coprime, then the value of (A+B)

If lim_(x rarr oo)(1+(a)/(x)+(b)/(x^(2)))^(2x)=e^(2) then the values of a and b,are