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September 7th, 2012, 10:47 AM   #1
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limit question

pls see the attachment for full question....
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September 7th, 2012, 12:52 PM   #2
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Re: limit question

You can't by just using the formula.
Example: Let f(x) = 1 + x + ax^2. Then lim (f(x) - 1)/x = 1, while lim (f(x) - 1 -x)/x^2 = a.

You need to know that e^x = 1 + x + x^2/2 + ... to get the second limit.
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September 8th, 2012, 12:20 AM   #3
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Re: limit question

i know that by expansion or l- hospital's rule it becomes very easy , but it's given in the question that i shouldn't use these methods and have to solve only by the formula i previously described...
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September 8th, 2012, 12:30 PM   #4
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Re: limit question

Quote:
Originally Posted by sandeepmrocks
i know that by expansion or l- hospital's rule it becomes very easy , but it's given in the question that i shouldn't use these methods and have to solve only by the formula i previously described...
If you aren't allowed to use any more information about e^x, then, as the polynomial I gave shows, it can't be done.
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