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 help me out , serious and urgent please!
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Posted on 09-13-06 3:00 AM     Reply [Subscribe]
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help me , serious and urgent please!
i have an assignment of calculus and could not solve it. i am not a mathematics major so please help me out to solve this

Limit (CosX-1)/X
X->0
 
Posted on 09-13-06 4:19 AM     Reply [Subscribe]
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Use L'hospital's rule for inderteminate cases of 0/0 or infinity/infinity.

- http://en.wikipedia.org/wiki/L'Hopital's_rule

Below is the solution. The result is zero.

 
Posted on 09-13-06 7:19 AM     Reply [Subscribe]
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Expand cosx as

Cosx = 1-(x^2/2!)+(x^4/4!)-......................
then
lim (Cosx-1)/x = Lim -(x/2!) + (x^3/4!)-...............= 0
x->0 x->0
 
Posted on 09-14-06 5:06 PM     Reply [Subscribe]
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lim -(1-cosx)
= -------------
x->0 x



(-1) lim 1-cosx
= ------------
x-->0 x


= (-1) * 0

= 0
 


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