i get infinity - infinity

its undefined

??

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- February 26th 2009, 10:25 PMtransgalacticlimit question

i get infinity - infinity

its undefined

?? - February 26th 2009, 11:50 PMJameson
- February 27th 2009, 03:29 AMmr fantastic
It's not undefined. It's an indeterminate form.

The limit is 0 (and I'm sure you will recognise this answer ....)

One approach might be to simply apply the generalised binomial theorem to each term and simplify. Then take the limit ....

Another approach might be to re-write as so that you have the indeterminant form and then use l'Hopital's Rule.

I'm not so sure this works. The numerator has the form and so you have the same troubles but worse algebra .... - February 27th 2009, 08:37 AMKrizalid
Write then consider and use the identity The rest is algebra.