Sequence Convergence: Properties and Computations - Expii

In many cases, such as \(\lim_{n\to\infty} 2^{1/n}\), we can interpret a sequence limit as a function limit towards infinity. For the most part, the techniques for finding limits of functions carry over without a hitch. Sometimes we just need to reason directly, like for \(\lim_{n\to\infty} (1+x+x^2+\dots+x^n) = 1+x+x^2+\dots\) (infinite geometric series).