Find the limit for the given function.

http://www.webassign.net/cgi-bin/symimage.cgi?expr=lim_%28x-%3E0%29%20text%28%20%29%20%28sin%282%20x%29%29%2F%28sin%288%20x%29%29

Question

Find the limit for the given function.

http://www.webassign.net/cgi-bin/symimage.cgi?expr=lim_%28x-%3E0%29%20text%28%20%29%20%28sin%282%20x%29%29%2F%28sin%288%20x%29%29

anonymous · Answer

0/0,  well first l'hopital and you get  2*cos(2x) / 8*cos(8x)

anonymous · Answer

and then put in 0 and tou get 2/8

anonymous · Answer

there are other ways as well

anonymous · Answer

Is L'Hospital's used for mostly everything in Calc? Everyone uses it, but we haven't used it yet.

anonymous · Answer

Yeah, there is a way to manipulate it knowing that lim (sin 2x)/2x=1 and 8x/sin 8x =1. Multiply by (2x)(8x)/(2x)(8x)

anonymous · Answer

l'hopital is good way to settle things.. but works only by 0/0 and $$\infty /\infty$$

anonymous · Answer

If you haven't got to L'hopital yet, you would be expected to use method I described above.

anonymous · Answer

agree with chaguanas..