For what values of x, if any, does #f(x) = 1/((x-2)(x+2)(e^x-1)) # have vertical asymptotes?
1 Answer
May 31, 2016
Explanation:
Vertical asymptotes occur whenever the denominator of a rational function equals zero. In this case, one of the three binomials in the denominator must equal zero.
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#(x-2)=0 => x=2# -
#(x+2)=0 => x=-2# -
#(e^x-1)=0 => e^x=1 => x=ln(1)=0#
