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ksaimouli

  • 2 years ago

limit

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  1. ksaimouli
    • 2 years ago
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    \[\lim_{x \rightarrow {-\infty}}\frac{ 2x-1 }{ 1+2x }\]

  2. ksaimouli
    • 2 years ago
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    when i divide by x i get |dw:1361724743582:dw|

  3. ksaimouli
    • 2 years ago
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    and this leads me to 1 but the answer was -1

  4. ZeHanz
    • 2 years ago
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    OK, now what is lim x to inf of 1/x?

  5. ksaimouli
    • 2 years ago
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    plz help with this

  6. ksaimouli
    • 2 years ago
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    0

  7. ksaimouli
    • 2 years ago
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    |dw:1361724809521:dw|

  8. ksaimouli
    • 2 years ago
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    =1

  9. ZeHanz
    • 2 years ago
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    So you get (2-0)/(0+2)=2/2=1

  10. ksaimouli
    • 2 years ago
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    as this goes to - infin it is -1

  11. ksaimouli
    • 2 years ago
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    i mean i got -1 bu the book says it is 1

  12. ZeHanz
    • 2 years ago
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    No, it is not. It is always 1

  13. ksaimouli
    • 2 years ago
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    why

  14. ksaimouli
    • 2 years ago
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    as it goes to - infinity to should go to -1 right

  15. ZeHanz
    • 2 years ago
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    Because you end up with (2x)/(2x) = 1

  16. ksaimouli
    • 2 years ago
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    okay i got thx so no matter what after dividing we get the answer and i should not check the limit right

  17. ZeHanz
    • 2 years ago
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    Just try a very big neg number, say x = -100000. Then the quotiens is: -200001/-199999, which is about 1

  18. ZeHanz
    • 2 years ago
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    So you can even check the limit.

  19. phi
    • 2 years ago
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    I am guessing a typo in the question or the answer.

  20. ZeHanz
    • 2 years ago
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    @phi: me too

  21. ZeHanz
    • 2 years ago
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    Remember: sometimes, even books are wrong ;)

  22. phi
    • 2 years ago
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    especially math books. Proof readers miss all kinds of mistakes.

  23. ksaimouli
    • 2 years ago
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    the answer is 1

  24. ZeHanz
    • 2 years ago
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    Yes, @ksaimouli , you were right all the time!

  25. ksaimouli
    • 2 years ago
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    thx

  26. ZeHanz
    • 2 years ago
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    YW!

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