I need to prove this
$$\frac{(n+2)}{2^n}=\Theta(1)$$
and I found an explanation saying that because the growth ratio of the denominator is larger than the growth ratio of numerator but I don't believe that's the case for every division $\frac{1}{n}$ isn't $\Theta(1)$ for example. If it is possible I must find this without the use of the limit definition.