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Forum index » Science and Technology » Math » Undergraduate
Another limit question
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TedMaul
science forum beginner


Joined: 14 Jun 2005
Posts: 4

PostPosted: Thu Jun 16, 2005 11:09 pm    Post subject: Another limit question Reply with quote
These seem to be popular at the moment, so I thought I'd chip in:

Limit[(1 - Cos[x])/(x Sin[x]), x -> 0]

(that is, the limit of (1-cosx)/xsinx as x tends to 0)

I'd appreciate any assistance, cos I'm really bad at these. Thanks in advance.
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Prithwijit
science forum beginner


Joined: 03 Jun 2005
Posts: 10

PostPosted: Fri Jun 17, 2005 1:35 pm    Post subject: Re: Another limit question Reply with quote
(1-cos(x))= 2(sin(x/2))^2
sin(x) = 2 sin(x/2)cos(x/2)

(1-cos(x))/sin(x) = tan(x/2)

limit as x->0 (1/x)(tan(x/2)) = 1/2
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