The values of two functions, f and g, are given in a table. One, both, or neithe

The exponential models describe the population of the indicated country, A, in millions, t years after 2010.Which country has the greatest growth rate? By what percentage is the population of that country increasing each year?
India, $A=1173.1e^{0.008t}$
Iraq, $A=31.5e^{0.019t}$
Japan, $A=127.3e^{0.006t}$
Russia, $A=141.9e^{0.005t}$

The postulate or theorem that can be used to prove each pair of triangles congruent.
Given:
The given figure is:

Limit with ' sequence and inverse logintegral
I found formula below
$\underset{n\to \mathrm{\infty }}{lim}\frac{{\lim }^{\text{-}1}\left(n\right)}{p_n}=1$
where ${\lim }^{\text{-}1}\left(n\right)$ is inverse logintegral function and ${\displaystyle p_n}$ is ' number sequence.
Can anyone prove this formula?