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March 28th, 2012, 09:15 PM   #1
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finding the limit (e function)

Hello, regarding finding the limit of this function:
e^(5+x)-e^5 / x
as x tends towards 0

I know the answser is e^5.
My question is how would I show the working to solve this problem. All I did was test values closer to zero. Is that all I should show for the working or should I have used a formula or some other procedure ?

Thanks
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March 28th, 2012, 09:19 PM   #2
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Re: finding the limit (e function)

Have you been introduced to L'H˘pital's rule?
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March 28th, 2012, 10:29 PM   #3
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Re: finding the limit (e function)

Oh great, thanks for that.
so using l'Hopital's rule:
e^(5+h)-e^5 / 1
= 0/1
= limit of 0
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March 29th, 2012, 04:28 AM   #4
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Re: finding the limit (e function)

Quote:
Originally Posted by fran1942
Oh great, thanks for that.
so using l'Hopital's rule:
e^(5+h)-e^5 / 1
= 0/1
= limit of 0
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