Proof that a Decreasing Bounded Sequence Converges to its Infimum

Continuing our proof of the Monotone Convergence Theorem, we prove that a decreasing sequence of real numbers that is bounded from below converges to its infimum. We define all of these terms in the video.

Here are links to the other videos in this series.

Convergent Sequences are Bounded from Above and Below

Increasing Sequence Bounded from Above Converges to its Supremum

Monotone Convergence Theorem and the Convergence of the Euler Sequence