Thursday

October 30, 2014

October 30, 2014

Posted by **khela** on Thursday, October 28, 2010 at 10:01pm.

x->0

- maths -
**Reiny**, Thursday, October 28, 2010 at 10:10pmcan you use L'Hopital's rule?

if so

lim (cos x-1)/ (sin 2x)

x->0

= lim (-sinx)/(2cos 2x) as x ---> 0

= 0/2 = 0

- maths -
**khela**, Thursday, October 28, 2010 at 10:11pmno u cant

- maths -
**Reiny**, Thursday, October 28, 2010 at 10:20pmsome common trig limits you should have come across:

lim( (sinx)/x ) as x --> 0 = 1

lim( x/sinx ) as x --> 0 = 1

lim( (cosx - 1)/x) as x -- 0 = 0

so lets rewrite the question as

lim[ ((cos x-1)/x) * x(2sinxcosx) ]

= lim( (cosx - 1)/x) * lim (x/sinx) * lim (1/2cosx)

= 0(1)(1/2) = 0

**Answer this Question**

**Related Questions**

Calculus - yes! tnk u ok? It's actually (x->0.) Find the limit of cot(x)-csc(...

TRIG! - Posted by hayden on Monday, February 23, 2009 at 4:05pm. sin^6 x + cos^6...

tigonometry - expres the following as sums and differences of sines or cosines ...

Mathematics - Trigonometric Identities - Let y represent theta Prove: 1 + 1/tan^...

Calculus 12th grade (double check my work please) - 1.)Find dy/dx when y= Ln (...

algebra - Can someone please help me do this problem? That would be great! ...

Calculus L'Hopital Rule - lim x->0 (x)sin(x)/1-cos(x). They both go to 0 so 0...

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

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

trig - Reduce the following to the sine or cosine of one angle: (i) sin145*cos75...