Posted: Tue, 20 Jul 2010 14:49:50 Post subject: find a function from the limit(adsbygoogle = window.adsbygoogle || []).push({});

Suppose:

[late]\lim_{x \rightarrow \infty} \frac{log f_1(x)}{ log x } = c_1[/late]

and

[late]\lim_{x \rightarrow \infty} \frac{log f_2(x)}{ log x } = c_2[/late]

if [late]c_2>c_1[/late] then

[late]\lim_{x \rightarrow \infty} \frac{ log f_1(x) + f_2(x) ] }{ log x } = c_2 [/late]

can anyone tell me how to prove this rigorously?

tks

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# Find a function from the limit

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