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Please help with these questions-limits etc.

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    I've attached the questions, thank you so much in advance.
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  1. File Type: pdf asdfadsafasdf.pdf (86.1 KB, 15 views)
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    Could you start the problems yourself?
    let us know what you have tried, im sure people will want to help, but few would be okay with doing it for you
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    I require some assistance with 2,3,4. with 3 i think it is either b or f or both not sure though. Thanks
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    For question 3- For (b) i can show its less than for any n but not equal so not sure and same for (f) can show its greater than but not the equal part.
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    (Original post by betapro)
    For question 3- For (b) i can show its less than for any n but not equal so not sure and same for (f) can show its greater than but not the equal part.
    So what did you do for 3 (b)?
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    (Original post by betapro)
    For question 3- For (b) i can show its less than for any n but not equal so not sure and same for (f) can show its greater than but not the equal part.
    b and f are correct and the answer is 4 - the 'or equal to' part is unnecessary but used in all of them so you can ignore it - the statements are still true

    what have you tried for 2&4?
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    I just tried tons of numbers for small n and large and always worked but cant find an n that it is equal or a way of showing mathematically that they are
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    (Original post by betapro)
    I just tried tons of numbers for small n and large and always worked but cant find an n that it is equal or a way of showing mathematically that they are
    Does this make any sense to you?
    \displaystyle \frac{n-1}{n^2+1} \le \frac{n}{n^2+1}
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    Yes, where from there?
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    oh and then u get rid of 1 and then get 1/n
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    So then B is correct right? what about f
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    (Original post by betapro)
    So then B is correct right? what about f
    Difference of squares?
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    (Original post by MathMoFarah)
    b and f are correct and the answer is 4 - the 'or equal to' part is unnecessary but used in all of them so you can ignore it - the statements are still true

    what have you tried for 2&4?
    Yes for 2 i got 6) so L=1 and not a clue how to do 4
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    (Original post by betapro)
    Yes for 2 i got 6) so L=1 and not a clue how to do 4
    your 2 is right

    you have to manipulate things for 6 until you get something that HAS to follow the inequality
    i.e. a higher denominator and lower numerator always guarantees a lower number
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    (Original post by MathMoFarah)
    your 2 is right

    you have to manipulate things for 6 until you get something that HAS to follow the inequality
    i.e. a higher denominator and lower numerator always guarantees a lower number
    For problem 6 i got 5 as my answer? How do u do q4 or is that what u were talkikng about?
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    (Original post by EricPiphany)
    Difference of squares?
    So would you agree that it is b and f correct for q3?
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    (Original post by betapro)
    For problem 6 i got 5 as my answer? How do u do q4 or is that what u were talkikng about?
    How did you get 5 though?
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    (Original post by EricPiphany)
    How did you get 5 though?
    Found values for which absolute values vanish and split into three intervals and then tested each one
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    (Original post by betapro)
    So would you agree that it is b and f correct for q3?
    Yes.
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    (Original post by EricPiphany)
    Yes.
    Great thanks Have you had a look at q4? I am currently doing it, also did u get same answers for 6 then?

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