# limit of a sequence

• March 24th 2010, 04:51 PM
monster
limit of a sequence
Am revising over limits and have forgotten mostly how to work with them,

need to find the limit of the following sequence;

n(1-cos(2/n))

obviosuly this can be done by using the standard limits but i don't know how to approach it,

Any help would be greatly appreciated,

Cheers.
• March 24th 2010, 05:03 PM
calculuskid1
lim as n-> infinite
n(1-1)
• March 24th 2010, 05:08 PM
skeeter
Quote:

Originally Posted by monster
Am revising over limits and have forgotten mostly how to work with them,

need to find the limit of the following sequence;

n(1-cos(2/n))

obviosuly this can be done by using the standard limits but i don't know how to approach it,

Any help would be greatly appreciated,

Cheers.

rewrite as ...

$2 \cdot \frac{1 - \cos\left(\frac{2}{n}\right)}{\frac{2}{n}}$

basic form for the limit of this trig expression should now look familiar