June 3rd, 2018, 05:29 PM  #1 
Newbie Joined: Jun 2018 From: Brasil Posts: 20 Thanks: 0  Math analysis
Can someone please help? Iam Brazil

June 3rd, 2018, 06:11 PM  #2 
Senior Member Joined: Aug 2012 Posts: 2,329 Thanks: 720 
What do you think about the first one? Just give us your thoughts, don't even edit yourself. Just think about the problem, what it's asking, why it might or might not be true. Is your language Portuguese? I speak a little Spanish. To me, Portuguese is sort of like Spanish and nothing at all like Spanish at the same time. It's like I "should" be able to understand it but a lot of times I can't. Last edited by Maschke; June 3rd, 2018 at 06:25 PM. 
June 4th, 2018, 02:49 PM  #3 
Newbie Joined: Jun 2018 From: Brasil Posts: 20 Thanks: 0 
I tried to translate in Google, do you understand?
Last edited by skipjack; June 5th, 2018 at 06:34 AM. 
June 4th, 2018, 03:23 PM  #4 
Senior Member Joined: Aug 2012 Posts: 2,329 Thanks: 720  What do you think about the first one? Just give us your thoughts, don't even edit yourself. Just think about the problem, what it's asking, why it might or might not be true.
Last edited by skipjack; June 5th, 2018 at 06:35 AM. 
June 4th, 2018, 05:15 PM  #5 
Newbie Joined: Jun 2018 From: Brasil Posts: 20 Thanks: 0 
I think the letter c is correct; options I and II true.
Last edited by skipjack; June 5th, 2018 at 06:35 AM. 
June 4th, 2018, 08:52 PM  #6 
Math Team Joined: Dec 2013 From: Colombia Posts: 7,663 Thanks: 2643 Math Focus: Mainly analysis and algebra 
#MeToo

July 12th, 2018, 08:19 AM  #7 
Math Team Joined: Jan 2015 From: Alabama Posts: 3,264 Thanks: 902 
In general, as long as two sequences, $\displaystyle \{an\}$, $\displaystyle \{bn\}$, have finite sums, it is true that $\displaystyle \lim_{n\to\infty} (a_n+ b_n)= \lim_{n\to\infty} a_n+ \lim_{n\to\infty} b_n$. $\displaystyle \lim_{n\to\infty} (a_n b_n)= \lim_{n\to\infty} a_n \lim_{n\to\infty} b_n$ $\displaystyle \lim_{n\to\infty} (a_n)(b_n)= (\lim_{n\to\infty} a_n)(\lim_{n\to\infty} b_n)$. $\displaystyle \lim_{n\to\infty}\frac{a_n}{b_n}= \frac{\lim_{n\to\infty} a_n}{\lim_{n\to\infty}}$ (As long as $\displaystyle \lim_{n\to\infty}$ is not 0.) From that, it follows immediately that options I and II are true. As for III, I have no idea where "2" might have come from! The limit of $\displaystyle \frac{a_n}{a_n}$ is 1, not 0. 

Tags 
analysis, math 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
2 questions in my math analysis hmw.  hamburgertime  Calculus  4  October 27th, 2013 03:37 AM 
math analysis  alice 9  Real Analysis  3  December 11th, 2010 05:07 PM 
math analysis  alice 9  Real Analysis  3  September 29th, 2010 05:17 PM 
Math Analysis  mcruz79  Real Analysis  4  October 24th, 2008 07:05 AM 
Math Analysis  mcruz79  Number Theory  1  December 31st, 1969 04:00 PM 