Lim (as n -> inf) of (1-sin(n))/n.
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Lim (as n -> inf) of (1-sin(n))/n.

[From: ] [author: ] [Date: 12-06-12] [Hit: ]
. 0?If I understand correctly the limit of that sin(n)/n is 1 when n -> 0 and is 0 when n -> inf?I get confused with taking the limits of the trig functions.Are there any good sources online that could help summarize that process so I can learn those well?Thank you for all your help!......
Lim (as n -> inf) of (1-sin(n))/n.

What I thought of was splitting these up to lim 1/n - lim sin(n)/n. So the limit of 1/n -> 0 and the limit of -sin(n)/n is ..... 0?

If I understand correctly the limit of that sin(n)/n is 1 when n -> 0 and is 0 when n -> inf?

I get confused with taking the limits of the trig functions. Are there any good sources online that could help summarize that process so I can learn those well? Thank you for all your help!! I really appreciate it!!

-
lim (1 - sinn)/n = 0
n-> ∞
Solved by inspection.
sinn oscillates between -1 and 1.
Therefore, the numerator, 1 - sinn, oscillates between 0 and 2.
The denominator approaches ∞.
Therefore, the fraction approaches 0.
1
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