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Sequences & Series · Sequences

Sequence Convergence

lim⁡n→∞an=L⇒{an} converges to L\lim_{n \to \infty} a_n = L \Rightarrow \{a_n\} \text{ converges to } L

A sequence {aₙ} converges if the limit of its terms as n→∞ exists and is finite.

  • 0 variables
  • 2 worked examples
  • 18 in Sequences & Series

Worked examples

Does {n/(n+1)} converge?
  1. lim(n→∞) n/(n+1) = lim 1/(1+1/n) = 1

Answer: Converges to 1.

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Does {(-1)ⁿ} converge?

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