Determine whether this series is a convergent or divergent.

Question

Dtermine whether this series is a convergent or divergent.

∑ _n=1^∞ 1 /(n + n cos²n)

PLEASE explain with steps

Answer 1

Attached is a video explaining why the series diverges. Refer if the following hints do not suffice.

Hint: Find a way to compare the series to the infinite series of 1/n.

Hint 2: 1 ≤ 1 + cos²(n) ≤ 2

Best of luck!