October 23rd, 2016, 01:35 PM  #1 
Newbie Joined: Oct 2016 From: Czech Republic Posts: 1 Thanks: 0  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 
October 23rd, 2016, 02:02 PM  #2 
Math Team Joined: Dec 2013 From: Colombia Posts: 7,671 Thanks: 2651 Math Focus: Mainly analysis and algebra 
Can you give some context to this problem?

October 24th, 2016, 11:13 AM  #3 
Math Team Joined: Jan 2015 From: Alabama Posts: 3,264 Thanks: 902 
What do you mean by "generalize"? The statement you give should be "As long as and exists and the latter limit is not 0, ."


Tags 
analysis, generalizing, limit 
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