of [[Convergence]]. ### Examples of Convergent Sequences - [[Simple harmonic sequence converges to zero]]. - [[Rational power of simple harmonic sequence converges to zero]]. - [[Criterion for Convergence of Geometric Sequence]]. - [[x to the power of the reciprocal of n converges to 1 for any positive x]] of the reciprocal of n is a convergent sequence for any positive x]]. - [[n to the power of the reciprocal of n converges to 1]]. - [[sin n does not converge]]. - [[1, -1 sequence does not converge]]. - [[Convergent sequence of integers must converge to an integer and is eventually constant]] - [[Dini's Theorem]].