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January 25, 2015

January 25, 2015

Posted by **Star** on Monday, September 12, 2011 at 2:12pm.

As x approaches 0:

tan 5 x/sin 25 x

- Calculus -
**johnathon**, Monday, September 12, 2011 at 5:44pmuse lptals rule

the derivative of tan(5x)=sec(5x)^2

the derivative of sin(25x)=cos(25x)*5

the lim of tan(5x)/(sin(25x))=the lim of

sec(5x)^2/(cos(25x)*5)

direct substution will work for this limit so I will evaluate at 0

the answer is 1/5

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