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Math Help - asymptotes for ln function

  1. #1
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    asymptotes for ln function

    Hello! I am having trouble finding horizontal and vertical asymptotes for function
    g(x)=ln(1-sqrt(1-x^2))

    this is a derivative based assignment, is there a way to determine any of these elements with the derivative? (I know that the derivative is the rate of change so i don't see how this would help)

    this is a calculus based question btw and i was wondering if i have to compute limits for this or use (analysis shown below).

    I know that the domain is restricted to [-1,0)U(0,1], meaning that there is a vertical asymptote at x=0 and a horizontal asymptote I am assuming there are none.

    Is there a method of solving this with limits or is it simply not required? Do I just need to analyze the question in that case?

    thx in advance!
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  2. #2
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    Quote Originally Posted by Solid8Snake View Post
    Hello! I am having trouble finding horizontal and vertical asymptotes for function
    g(x)=ln(1-sqrt(1-x^2))

    this is a derivative based assignment, is there a way to determine any of these elements with the derivative? (I know that the derivative is the rate of change so i don't see how this would help)

    this is a calculus based question btw and i was wondering if i have to compute limits for this or use (analysis shown below).

    I know that the domain is restricted to [-1,0)U(0,1], meaning that there is a vertical asymptote at x=0 and a horizontal asymptote I am assuming there are none.

    Is there a method of solving this with limits or is it simply not required? Do I just need to analyze the question in that case?

    thx in advance!
    Note that g(x) is undefined for x = 0.
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