How do you find the horizontal asymptote of f(x)=e^1/x?

1 Answer
Jan 25, 2018

Please see below.

Explanation:

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Functions have horizontal asymptotes when the value of the function, i.e. the value of f(x)=y approaches a certain constant value as x approaches oo or -oo.

Let's plug oo and -oo in for x and see what happens:

y=e^(1/x)

y=e^(1/oo)=e^0=1

y=e^(1/-oo)=e^0=1

This means y=1 is a horizontal asymptote as can be seen in the graph of the function below:

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