Find. `lim_(x->oo) ((x-3)/(x+3))^(x+3)`

Evaluate : lim_(x to oo) ((x-3)/(x+3))^(x+3)

find lim_(x->0) (e^(x+3)-e^3)/x

Evaluate lim_(xtooo)((x-3)/(x+2))^(x)

Evaluate lim_(xtooo)((x-3)/(x+2))^(x)

lim_(x -> oo) ((x-3)/(x+2))^x is equal to

lim_(x->oo)(e^(11x)-7x)^(1/(3x))

Evaluate the following limit: (lim)_(x->oo)((3x-1)(4x-2))/((x+8)(x-1))

find lim_(x->1) ((x^4-3x^2+2)/(x^3-5x^2+3x+1))

If lim_(x->oo) f(x) exists and is finite and nonzero and if lim_(x->oo) {f(x)+(3f(x)−1)/(f^2(x))}=3 ,then the value of lim_(x->oo) f(x) is

Evaluate the following limit: (lim)_(x->oo)((x^2+2x+3)/(2x^2+x+5))^((3x-2)/(3x+2))\