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Littlebird

  • one year ago

lim x-> infinity (7x^2 − x + 4)/(3x^2+ 5x − 2)

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  1. DanJS
    • one year ago
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    hello, something different than linear equations for once...

  2. Littlebird
    • one year ago
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    It'd calculus! ;)

  3. DanJS
    • one year ago
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    yeah seems about the topic for calc 1 in september

  4. DanJS
    • one year ago
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    Did you learn the properties of the limit

  5. Littlebird
    • one year ago
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    sort of. We just started the section, but are allowed to do our homework ahead of time. The quiz for the previous section was earlier today.

  6. DanJS
    • one year ago
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    As it is, you will not get a value for the limit when you put in infinity for x, you have to try and do a bunch of algebra to change that

  7. DanJS
    • one year ago
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    the limit properties support this

  8. Littlebird
    • one year ago
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    I attempted that, but then I got stuck on what algebra to use (factoring failed me)

  9. DanJS
    • one year ago
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    divide everything by the highest power of x maybe

  10. Littlebird
    • one year ago
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    ok

  11. DanJS
    • one year ago
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    recall \[\lim_{x \rightarrow \infty}\frac{ 1 }{ x } = 0\]

  12. DanJS
    • one year ago
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    as the denominator becomes huge, the fraction 1/huge becomes arbitrarily close to zero

  13. DanJS
    • one year ago
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    you can see on the graph of y = 1/x for huge x values, it converges to 0

  14. Littlebird
    • one year ago
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    I got it! :)

  15. DanJS
    • one year ago
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    7/3

  16. Littlebird
    • one year ago
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    yes

  17. DanJS
    • one year ago
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    yeah, that will be on the test prolly.. hah

  18. DanJS
    • one year ago
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    here is a reference thing

  19. DanJS
    • one year ago
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    if they really want every notation written, use the properties all the time, like the property 4 there

  20. Littlebird
    • one year ago
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    thanks

  21. DanJS
    • one year ago
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    tag me when you get to the Epsilon-Delta Precise definition for the Limit section, to prove a limit exists... I just went back over that recently, fresh in the mind

  22. DanJS
    • one year ago
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    it is the only section you will prolly not like, or least 90% the class, for some reason

  23. Littlebird
    • one year ago
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    ok. I hope I'll like it

  24. DanJS
    • one year ago
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    haha yeah, it is interesting, the only real abstract kind of thing in the course

  25. DanJS
    • one year ago
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    goodluck, tag me in more if you want,

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