What Are Limits and Convergence of Infinite Sequences?
Read this topicExplanations 3
- The Concept of a Limit For some infinite sequences, the terms get closer and closer to a certain number, for example: 32,43,54,…\frac{3}{2}, \frac{4}{3}, \frac{5}{4}, \ldots23,…
By Matt Superdock, Perdita Stevens, Alex Federspiel
- This post presents a graphical visualization of sequence convergence. OK, so we sort of know what it means mathematically for a sequence to converge. Now let's figure out what i…
By Max Schindler, Moor Xu, Victor Wang
- A formal definition for the convergence behavior of a sequence. Intuitively, one would say that a sequence is just a set of numbers that we put them in order. For instance, the …
By Kevin
Problems 2
- Ryan bounces a basketball, at its highest point the ball reaches 25ft. From that point the ball rebounds to 0.75 of its previous height. Let hn=h_n=hn=the high point of the nth…
- Does the following sequence converge or diverge? If the sequence converges, find the limit. {sin(n)n}\left \{ \frac{\sin (n)}{n} \right \}{nsin(n)}