What is the horizontal asymptote of an exponential function?

Answer 1
Since #lim_{x to -infty}e^x=0#, #y=0# is the horizontal asymptote of #y=e^x#.
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Answer 2
The horizontal asymptote of an exponential function is the horizontal line that the graph of the function approaches as the input values (x-values) become very large or very small. For exponential functions of the form f(x) = a^x, where a is a positive constant, the horizontal asymptote is y = 0 if 0 < a < 1, and there is no horizontal asymptote if a > 1.
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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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