Hi all, I can't find limit of this one:(adsbygoogle = window.adsbygoogle || []).push({});

[tex]

\lim \frac{(n + 4)^{100} - (n + 3)^{100}}{(n + 2)^{100} - n^{100}}

[/tex]

I only got it to this point after I divided all expressions withn^100:

[tex]

\lim \frac{ \left( 1 + \frac{4}{n} \right) ^{100} - \left( 1 + \frac{3}{n} \right) ^{100}}{ \left( 1 + \frac{2}{n} \right) ^{100} - 1}

[/tex]

I only can see that every expression goes to 1 in infinity, but I can't figure the limit out of this, anyway...

Thank you for any suggestions. I would like to ask as well, what to do in cases like this - when I get[itex]\frac{0}{0}[/itex]or[itex]\frac{\infty}{\infty}[/itex](and withoutl'Hospital).

Thank you.

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# Yet another limit

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