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anonymous

  • 5 years ago

what the limit as x goes to infinity of the function ----xln(1-(10/x))????

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  1. anonymous
    • 5 years ago
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    Take it by parts what is x as x goes to infinity?

  2. anonymous
    • 5 years ago
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    0

  3. anonymous
    • 5 years ago
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    or 1

  4. anonymous
    • 5 years ago
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    try again infinity, next part on the inside what happens when 10 or any number is over infinity?

  5. anonymous
    • 5 years ago
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    o ya i see x goes to infinity, um its infinity? thats what your asking ?

  6. anonymous
    • 5 years ago
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    Yeah x goes to infinity, that is the first which is then multiplied by len (1-10/x). What happens when 10 or any number is over x as x goes to infinity?

  7. anonymous
    • 5 years ago
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    x gets smaller?

  8. anonymous
    • 5 years ago
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    No, just like earlier x goes to infinity. But the point is it is 10/x. Anytime a number is over infinity it goes to zero. There is a lot of situations in this problem that occurs a lot so you should take notes. That's not the complete answer yet. Let me know if what I am saying makes any sense.

  9. anonymous
    • 5 years ago
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    yes it maks sense ... i know what you were asking now ...

  10. anonymous
    • 5 years ago
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    So you have the first x going to infinity and that is multiplied by ln (1-0). What is ln 0?

  11. anonymous
    • 5 years ago
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    I'm sorry ln 1

  12. anonymous
    • 5 years ago
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    0?

  13. anonymous
    • 5 years ago
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    Right so, if you are keeping tracking you have the lim of infinity times zero. That is a special condition. Check your classroom notes: what to do?

  14. anonymous
    • 5 years ago
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    lhospital rule?

  15. anonymous
    • 5 years ago
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    Right on apply l'hopital to the original equation.

  16. anonymous
    • 5 years ago
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    see im having trouble that part

  17. anonymous
    • 5 years ago
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    i sec

  18. anonymous
    • 5 years ago
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    yeah, product rule u'v+uv'

  19. anonymous
    • 5 years ago
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    ya i get (x/(1-10/x))+ln(1-(10/x))....

  20. anonymous
    • 5 years ago
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    Yeah, you might be off one piece ln (1-10/x) + (10x^3)/(1-10/x)

  21. anonymous
    • 5 years ago
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    Ok, find lim, you found already that ln (1-10/x) goes to zero so just concentrate on last part

  22. anonymous
    • 5 years ago
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    You also found that (1-10/x) goes to 1-0 which is 1. So just find lim 10x^3

  23. anonymous
    • 5 years ago
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    how did you get 10x^3??

  24. anonymous
    • 5 years ago
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    how did you get 10x^3??

  25. anonymous
    • 5 years ago
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    Product rule u is x, u' is 1; v is ln (1-10/x), v' (10x^2)/(1-10/x) Put it together u'v +uv' is ln (1-10/x) + (x10x^2)/(1-10/x) -->ignore everything as stated earlier and the last part is x10^2 --> 10^3

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