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posted by  mercat on 6/18/2008 11:33:53 PM  |  status: Live  

intermediate powers

Course Textbook Chapter Problem
Calculus Calculus: Concepts and Contexts (3rd) by Stewart 4.5 11E
Question Details:
lim as x approaches zero for tan px divided by tan qx. Look at the answer Cramster gives. I want to know how they get p divided by q as the answer. I know how to find the derivative, but if you plug in zero to sec2x don't you get zero which would make the whole thing zero???
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posted by chibba on 6/18/2008 11:38:13 PM  |  status: Live
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mercat's comment:
"Thank you so much"
Response Details:
no.
 
sec2(0) = 1
 
because 1/cos2(0) = 1/1 = 1
Do not use L'Hopital's Rule on my post unless it's neccessary!
 
Feel free to msg me if you have any questions with my responses!
 
The indeterminate forms include 00, 0/0, 1∞, ∞ - ∞, ∞/∞, 0×∞, and ∞0.
Tags: Math, Calculus
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posted by LittleCrystal on 6/18/2008 11:40:43 PM  |  status: Live
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Response Details:
Because when x approaches zero tan(px) and tan(qx) approache 0
Hence the limit is the type , then we can apply L'Hospital's Rule
=  (since sec x =1 when x approaches zero)
Tags: Math, Calculus
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