find the limits of the following:

1)arctan(x)/[(1/x)-7]

lim=infinity

for this I got [(1)/(1+x^2)]/(-1/x^2) but it still is 0.

2) [1-cos(8x)]/[1-cos(9x)]

lim=0

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- Oct 26th 2009, 06:53 PMAsuhuman18L' Hospital's Rule
find the limits of the following:

1)arctan(x)/[(1/x)-7]

lim=infinity

for this I got [(1)/(1+x^2)]/(-1/x^2) but it still is 0.

2) [1-cos(8x)]/[1-cos(9x)]

lim=0 - Oct 26th 2009, 07:01 PMJose27
For the first one you don't need L'Hopital, notice that and so the limit should be (you should also make sure the hypothesis for L'Hopital's rule apply in each case, in this case they don't)

For the second one use L'Hopital twice - Oct 26th 2009, 07:02 PMmr fantastic