# A discrete mathematics problem by Tanishq Varshney

$$\large{A=\displaystyle \lim_{n\to \infty}(\sum^{n}_{r=0} \frac{\binom{n}{r}}{n^{r}(r+3)})}$$

Which of the following is correct

$$P)$$ $$A$$ is an irrational number

$$Q)$$ $$lnA-2$$ is rational

$$R)$$ A is a rational number

$$S)$$ $$log_{2} A+2$$ is rational

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