Find the horizontal and vertical asymptote(s) of the following function.

Question

Find the horizontal and vertical asymptote(s) of the following function.

y = 2e^x / (e^x − 5)

Answer 1

Vertical asymptote at x=ln 5 (zero of the deniominator)

Horizontal asymptote y=2 in both directions. (divide the numerator and denominator by e^x)