Let $\epsilon > 0$. We need to show that there exists a natural number $N$ such that $|x_n - 0| < \epsilon$ for all $n > N$.
Here are some sample solutions to exercises and problems in Zorich's book: mathematical analysis zorich solutions
However, obtaining solutions to the exercises and problems in Zorich's book can be challenging. The book does not provide solutions to all the exercises and problems, and students may need to seek additional resources to help them understand the material. Let $\epsilon > 0$