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Plez help me! (limits)

  1. Sep 24, 2006 #1
    let g(x)= (x-3)sin(1/(x-3))+2. Determin ethe limit by any means possible as x-->3.

    let r(x)=2+((sinx)/x)
    find the limit of r(x) as x aproaches infinity

    make a conjecture about the limit of r(x) as x approaches zero. give evidence to support your conjecture.
  2. jcsd
  3. Sep 24, 2006 #2
    What have you done so far?
  4. Sep 24, 2006 #3
    i dont know where to begin!
  5. Sep 24, 2006 #4


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    Homework Helper

    I suggest you use [tex]lim_{x\rightarrow a}(F(x)\cdot G(x))=lim_{x\rightarrow a} F(x) \cdot lim_{x\rightarrow a}G(x)[/tex].
  6. Sep 24, 2006 #5
    Well, do you know the definition of what it means to say

    [tex]\lim_{x \rightarrow a} f(x) = L,[/tex]


    [tex]\lim_{x \rightarrow \infty} f(x) = L[/tex]

    Last edited: Sep 24, 2006
  7. Sep 24, 2006 #6
    This only works if both limits exist!
    Last edited: Sep 24, 2006
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