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Homework Help: Limit comparisons (reviewing my Calc 1)

  1. Dec 16, 2007 #1
    So recently I been reviewing my graphing along with my Calculus 1.

    I'm currently reading this problem and I was thinking, why not just compare it to a graph that I already know.

    [tex]\lim_{x \rightarrow 5^{+}}\frac{6}{x-5}[/tex]

    with comparison to whose limit also goes to Infinity as it approaches from the right.

    [tex]\lim_{x \rightarrow 0^{+}}\frac{1}{x}[/tex]

    Basically, my interpretation is that the first graph is simply stretched vertically by 6 and shifted 5 units from the graph of 1\x.

    Is it ok for me to compare limits of similar functions such as the ones I just compared?
  2. jcsd
  3. Dec 16, 2007 #2


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    It's ok with me. Your description of the transformation from one to the other is correct. The sense in which these functions are 'similar' is that they are related by a change of variable.
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