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October 23rd, 2016, 02:35 PM   #1
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Unhappy Limit generalizing

I'm confused with this: I need to generalize the formula $\lim_{n\to\infty }\frac{a_n}{b_n}$ = $ \frac{\lim_{n\to\infty} a_n}{\lim_{n\to\infty } b_n} $ so that it can be applied even in exceptional cases.

I see that the exceptional case is when $b_n=0$.

I appreciate all of you help
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October 23rd, 2016, 03:02 PM   #2
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Can you give some context to this problem?
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October 24th, 2016, 12:13 PM   #3
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What do you mean by "generalize"? The statement you give should be "As long as and exists and the latter limit is not 0, ."
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