September 7th, 2012, 11:47 AM  #1 
Newbie Joined: Sep 2012 Posts: 15 Thanks: 0  limit question
pls see the attachment for full question....

September 7th, 2012, 01:52 PM  #2 
Global Moderator Joined: May 2007 Posts: 6,379 Thanks: 542  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, 01:20 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, 01:30 PM  #4  
Global Moderator Joined: May 2007 Posts: 6,379 Thanks: 542  Re: limit question Quote:
 

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