Why is this right I can make it work with L'Hop's but is it legal to use when u approaches 0 and not infinity
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Yep. You can use L'Hop for this case too. There are also other ways of proving this identity.
Thanks Rangr. Can L'Hops be used for u=any N
L'Hops can be used if you have 0/0 or 0/infinity or infinity/infinity or infinity/0. i.e. functions not evaluable at their limits, so we evaluate their slopes when they tend towards these limits.
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