Question

Please help me find the following limit...

Answer 1

\[\lim_{x \rightarrow \infty}(\frac{ x+3 }{ x+1 })^{x}\]

Answer 2

There are several ways to do it ...
do you know the formula : \(\large \lim \limits_{x\rightarrow 0} (1+x)^{1/x}=e\)

Answer 3

No, I've never seen that formula.

Answer 4

and this is not a math section, its physics section....
so, now we are gonna use it.
put x=1/y in that limit,
as x->infinity, y->0

Answer 5

Oh woops, meant to post in math.

Answer 6

no problem...