Question

What is the limit of (1+(a/x) as x approaches infinity?

Answer 1

`lim_(x->oo) (1+a/x) = 1`

Explanation:

`lim_(x->oo) (1+a/x) = 1+ lim_(x->oo) a/x`

Now, for all finite `a, lim_(x->oo) a/x =0`

Hence, `lim_(x->oo) (1+a/x) = 1`