Friday

August 1, 2014

August 1, 2014

Posted by **miley** on Monday, September 19, 2011 at 11:05am.

- calculus -
**Reiny**, Monday, September 19, 2011 at 11:36amYou should have either proved or collected several basic trig limits

e.g.

limit sinx/x as x---> 0 = 1

also

lim tanØ/Ø as Ø ---> 0 = 1 which implies lim Ø/tanØ as Ø ---> 0 = 1

so let's make your question look like that

lim -x/tan(3x)

= lim -3x/(3tan(3x))

= lim (-1/3) [(3x)/tan(3x)] , (where 3x = Ø)

= lim (-1/3) [Ø/tanØ]

= (-1/3)(1)

= -1/3

**Related Questions**

calculus - If limit as delta x approaches 0 of tan(0+Δx)-tan(0)/Δx =1 ...

Calculus - Evaluate the limit. The limit as x approaches 0 of (x-sin(x))/(x-tan(...

Calculus - Could someone please help me with these questions;I was having ...

Calculus - Evaluate limit as x approaches 0 of: csc^2(7x)tan(2x^2)

Calculus - FIND THE LIMIT As x approaches 0: tan 5 x/sin 25 x

calculus - limits - limit as x approaches infinity; tan^(-1) (x^2 - x^4) any ...

Calculus - 1. Use the Taylor series to calculate the limit. Problem: limit as x ...

Differential Calculus - use the rule that says limit of (e^h - 1)/h = 1 as h ...

Differential Calculus - use the rule that says limit of (e^h - 1)/h = 1 as h ...

calculus - use the rule that says limit of (e^h - 1)/h = 1 as h approaches 0 to ...