- #1
Kaura
- 122
- 22
Question
∞
∑ tan(1/n)
n = 1
Does the infinite series diverge or converge?
Equations
If limn → ∞ ≠ 0 then the series is divergent
Attempt
I tried using the limit test with sin(1/n)/cos(1/n) as n approaches infinity which I solved as sin(0)/cos(0) = 0/1 = 0
This does not rule out anything and I cannot think of what else to try
The answer stated that the series is divergent so I just need to know what test to use to determine that
∞
∑ tan(1/n)
n = 1
Does the infinite series diverge or converge?
Equations
If limn → ∞ ≠ 0 then the series is divergent
Attempt
I tried using the limit test with sin(1/n)/cos(1/n) as n approaches infinity which I solved as sin(0)/cos(0) = 0/1 = 0
This does not rule out anything and I cannot think of what else to try
The answer stated that the series is divergent so I just need to know what test to use to determine that