Thursday

April 24, 2014

April 24, 2014

Posted by **alice** on Wednesday, September 2, 2009 at 6:29pm.

(This symbol:-> is an arrow)

lim of x-> 0 sin^2x/x

can someone please explain?

- math -
**MathMate**, Wednesday, September 2, 2009 at 7:36pmWhen an expression involves a division, and the denominator becomes indefinite or zero at the limit, l'HÃ´pital's rule can be used.

To apply l'HÃ´pital's rule, take the derivative of the numerator and the denominator, and try to evaluate the expression at the required limit. If the denominator is still indefinite, repeat the procedure.

In the particular case,

Lim x→0 sin²(x)/x

=Lim x→0 2sin(x)cos(x)/1

=2sin(0)cos(0)/1

=2*0*1/1

=0

**Related Questions**

calc - need to find: lim as x -> 0 of 4(e^2x - 1) / (e^x -1) Try splitting ...

math - can someone please explain this problem? (-> is an arrow) assume that ...

calculus again - Suppose lim x->0 {g(x)-g(0)} / x = 1. It follows necesarily ...

Calculus - Find the indicated limits. If the limit does not exist, so state, or ...

Calculus - Find the indicated limits. If the limit does not exist, so state, or ...

Calculus - Find the positive integers k for which lim ->0 sin(sin(x))/x^k ...

Calculus - Find the following limits algebraically or explain why they don’t ...

Calculus - Find the limit. lim 5-x/(x^2-25) x-->5 Here is the work I have so ...

survey of clac - g(x)={x+6, for x<-2, -1/2x+1, for x> or equal to -2, find...

math - i need some serious help with limits in pre-calc. here are a few ...