`lim_(x rarr oo)(1+x)^(1/x)`

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

lim_(x rarr oo) (1+f(x))^(1/f(x))

lim_(x rarr oo)(1)/(x^(2))

lim_(x rarr oo)(1)/(x^(2))

lim_(x rarr oo) tan(1/x)/(1/x)

[lim_(x rarr oo)(1+(1)/(x^(2)))^(x)]

Evaluate: (lim)_(x rarr oo)(1+(1)/(x))^(x)

lim_ (x rarr oo) ((1 ^ ((1) / (x)) + 2 ^ ((1) / (x)) + 3 ^ ((1) / (x)) ++ n ^ ((1 ) / (x))) / (n)) ^ (nx), n in N

Evaluate the following limit: (lim)_(x rarr oo)(a^(1/x)-1)x

lim_(x rarr oo)((a^((1)/(x))+b^((1)/(x))+c^((1)/(x)))/(3))^(x)