Tuesday

January 27, 2015

January 27, 2015

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'Hôpital's rule can be used.

To apply l'Hôpital'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

**Answer this Question**

**Related Questions**

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

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 ...

Math - I'm in Calculus AP and we are learning about limits. I'm having trouble ...

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

Calculus - Use the graph to estimate the limit: lim x->0 sin(3x)/x When x is ...

Limit Calculas - Evaluate lim->4 sin(2y)/tan(5y) Here is what I have so far. ...

calculus-limits?? - i keep on doing something wrong on this problem,i guess im ...