prove-that-the-seq-a-n-ncos-3n-2-2n-1-n-1-has-convergent-subsequence-

Question Number 78447 by arkanmath7@gmail.com last updated on 17/Jan/20

p r o v e t h a t t h e s e q a_{n} = \frac{n c o s (3 n^{2} + 2 n + 1)}{n + 1}

h a s c o n v e r g e n t s u b s e q u e n c e

Answered by mind is power last updated on 17/Jan/20

∣ a_{n} ∣< 1 \Rightarrow by Weirstrass a_{n} has a [convergent Subsquence