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Limit problem

  1. Dec 18, 2003 #1
    I forgot how to do these kind of problem:

    If [tex]\lim_{t\rightarrow k} F(t) = 7 [/tex] and [tex]\lim_{t\rightarrow k} G(t) = 0[/tex], then what is [tex]\lim_{t\rightarrow k} F(t)G(t)[/tex]?


    What is [tex]\lim_{t\rightarrow k} \frac{F(t)}{G(t)+7}[/tex]?
  2. jcsd
  3. Dec 18, 2003 #2
    Since both the limits exist, the limit of the product is just the product of the limits. Also, if you have a quotient and the limit on the top exists and the limit on the bottom exists and is nonzero, then the limit of the quotient is just the quotient of the limits.
    If [tex]\lim_{t\rightarrow k} G(t)=0[/tex], then [tex]\lim_{t\rightarrow k} G(t)+7=7[/tex], since the limit of a sum is just the sum of the limits (if both limits exist).
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