(Extra credit, 10 points) If {ak}_₁ is such that |ak+1 − ak| ≤ Mrk for some M > 0 and k=1 0 < r < 1, show that this sequ
Posted: Tue Jul 12, 2022 12:08 pm
(Extra credit, 10 points) If {ak}_₁ is such that |ak+1 − ak| ≤ Mrk for some M > 0 and k=1 0 < r < 1, show that this sequence converges. [Hint: Is that a Cauchy's sequence?]