# asymptotes for ln function

• Mar 20th 2010, 04:49 PM
Solid8Snake
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?

• Mar 21st 2010, 02:34 AM
mr fantastic
Quote:

Originally Posted by Solid8Snake
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?