My Math Forum limit question

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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 Global Moderator   Joined: May 2007 Posts: 6,528 Thanks: 589 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.
 September 8th, 2012, 12:20 AM #3 Newbie   Joined: Sep 2012 Posts: 15 Thanks: 0 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...
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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