Question

find if the seq converges {(1+cosn)/n^2}

Answer 1

Hint: \(-1\le\cos(n)\le 1\)

Answer 2

use the squeeze theorem?

Answer 3

Let's see you do that.

Answer 4

\[0\le1+\cos n \le2\]

Answer 5

That's it. Now, what do you conclude?

Answer 6

\[\le\frac{ 0 }{ n^2 }\le \frac{ 1+\cos n }{ n^2}\le \frac{ 2 }{ n^2 }\]

Answer 7

converges to zero

Answer 8

Done! Good work.

Answer 9

awesome thx

Answer 10

That's comparison theory, not squeeze.

Answer 11

No..it is the squeeze theorem