How do you find the asymptotes for #f(x) = e^(x) #?
Hence
The graph of
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To find the asymptotes for ( f(x) = e^{x} ), you need to consider the behavior of the function as ( x ) approaches positive or negative infinity.

As ( x ) approaches positive infinity (( x \to +\infty )), ( e^{x} ) approaches 0. Therefore, there is a horizontal asymptote at ( y = 0 ) or the xaxis is the asymptote.

As ( x ) approaches negative infinity (( x \to \infty )), ( e^{x} ) also approaches 0. Thus, there is another horizontal asymptote at ( y = 0 ).
In summary, the function ( f(x) = e^{x} ) has horizontal asymptotes at ( y = 0 ), which are the xaxis in both directions.
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When evaluating a onesided 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 onesided 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 onesided 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 onesided 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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