Inspired by Yashasvi Baweja

Calculus Level 3

What is

\[ \lim_{x \rightarrow \infty} \left\lfloor \frac{x}{x+1}\right \rfloor -\left\lfloor \lim_{x \rightarrow \infty} \frac{ x}{x+1} \right\rfloor ? \]


Inspiration

Limits do not commute

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