How do you determine if #h(x)=e^(x)# is an even or odd function?
Observe that
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To determine if a function ( h(x) = e^{x} ) is even or odd:

Even function: If ( h(x) = h(x) ) for all ( x ) in the domain, then ( h(x) ) is even.

Odd function: If ( h(x) = h(x) ) for all ( x ) in the domain, then ( h(x) ) is odd.
For the function ( h(x) = e^{x} ):
 Substituting ( x ) into the function: ( h(x) = e^{x} = e^{x} = h(x) )
Since ( h(x) = h(x) ) for all ( x ) in the domain, the function ( h(x) = e^{x} ) is an even function.
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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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