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For what values of x, if any, does #f(x) = x/(e^x-xe^(2x)) # have vertical asymptotes?

1 Answer

Jan 12, 2016

Vertical asymptotes would be given by the equation #1/x-e^x =0# on solving for x.

Explanation:

Write f(x) = #1/ ((e^x -xe^2x)/x#. Vertical asymptotes would be given by #(e^x -xe^(2x))/x=0#

#e^x ( 1/x-e^x)=0#

Solving #1/x - e^x =0# would give vertical asymptotes

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