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haterofmath Group Title

find the indicated one-sided limit. if the limiting value is inifinte indicate whther is is +∞or− , lim x→4 (3x−9)

  • one year ago
  • one year ago

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  1. hsmt Group Title
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    hi. i have a question. is the limit being taken from the left or right?

    • one year ago
  2. hsmt Group Title
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    are you there?

    • one year ago
  3. hsmt Group Title
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    well, this is a linear function or a first degree polynomial.

    • one year ago
  4. haterofmath Group Title
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    i'm not sure

    • one year ago
  5. hsmt Group Title
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    so tell me what the problem is asking, if you would be so kind.

    • one year ago
  6. haterofmath Group Title
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    \[\lim_{x \rightarrow 4}(3x^2-9) \]

    • one year ago
  7. hsmt Group Title
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    can you tell me in words, what it is asking?

    • one year ago
  8. haterofmath Group Title
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    find the indicated one-sided limit. if the limiting value is inifinte, indicate whether it is \[+\infty or -\]

    • one year ago
  9. haterofmath Group Title
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    -infity

    • one year ago
  10. hsmt Group Title
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    ok. so they want the limit of 3x^2-9 as x approaches 4. I see the 4, but is it a left- or right hand + limit. My glasses may not be picking up the detail.

    • one year ago
  11. haterofmath Group Title
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    right hand

    • one year ago
  12. hsmt Group Title
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    ok. perfect. now, what do we know about 3x^2-9? what kind of a function is it?

    • one year ago
  13. hsmt Group Title
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    what is the graph of that function?

    • one year ago
  14. haterofmath Group Title
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    i'm not sure...i'm a little confused on the whole topic of limits

    • one year ago
  15. hsmt Group Title
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    it is ok. it is a second degree polynomial. i am stating it this way because there is a limit theorem that states that all polynomial functions are continuous and all polynomial functions have equal left and right hand limits at every point in their domain.

    • one year ago
  16. hsmt Group Title
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    this function would graph out to be a parabola. Furthermore, unless special domains are part of the problem, you simply substitute the x value into the expression to get the limit.

    • one year ago
  17. haterofmath Group Title
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    oh ok

    • one year ago
  18. hsmt Group Title
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    incidentally, polynomial functions are any function that can be written in the form: y=ax^n+bx^(n-1)+...+c

    • one year ago
  19. hsmt Group Title
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    so, 5x^6+3x^5+4=y is a sixth degree polynomial function. notice the degree and the highest power are the same.

    • one year ago
  20. haterofmath Group Title
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    yea

    • one year ago
  21. hsmt Group Title
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    ok. the only reason i bring this up is because they tend to throw a lot of these polynomial functions at you in calc classes. now back to the problem at hand. did you substitute 4 for x in the expression?

    • one year ago
  22. hsmt Group Title
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    if so, what did you get for a value?

    • one year ago
  23. haterofmath Group Title
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    39

    • one year ago
  24. hsmt Group Title
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    that would be the correct answer. nicely done.

    • one year ago
  25. haterofmath Group Title
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    ok..thanks...its all starting to make sense now

    • one year ago
  26. hsmt Group Title
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    good. do you have any other questions? I am not paid by the hour lol

    • one year ago
  27. haterofmath Group Title
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    lol. no not tonight

    • one year ago
  28. hsmt Group Title
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    well, then, i hope you have a lovely evening. take care and good nite

    • one year ago
  29. haterofmath Group Title
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    thanks and the same to you

    • one year ago
  30. hsmt Group Title
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    :))

    • one year ago
  31. haterofmath Group Title
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    what happens if the limit is being taken from the left?

    • one year ago
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