`lim_(x rarr oo)(e^(x)+2)/(e^(2x)+2)`

lim_(x rarr oo)e^(-x)x^(2)

lim_(x rarr oo)(log(1+x))/(x)

lim_(x rarr oo)((log x)/(x^(n)))

lim_(x rarr oo)((log x)/(x))^(1/x)

lim_(x rarr oo)(sqrt(x^(2)+x)-x)

lim_(x rarr oo){((log x)^(3))/(x)}

If 3x+2y=1 is a tangent to y=f(x) at x=1//2 , then lim_(xrarr0) (x(x-1))/(f((e^(2x))/(2))-f((e^(-2x))/(2)))

lim_(x rarr0)(log_(e)(1+x)-x)/(x^(2))=-(1)/(2)

lim_(xrarr oo) (int_(0) ^(2x)xe^(x^(2))dx)/(e^(4x^2))

If lim_(xrarr oo) (1+(a)/(x)-(4)/(x^2))^(2x)=e^3 , the a is equal to