The Statement of L'hospital's Rule given on my book goes like this-

"Let f and g be two real valued functions differentiable at each point x in and g'(x) is not equal to 0 for all x such that .

If exists and ,then also exists and =

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- Apr 12th 2009, 11:13 PMroshanheroUnderstanding formal statement of L'hospital's Rule
The Statement of L'hospital's Rule given on my book goes like this-

"**Let f and g be two real valued functions differentiable at each point x in and g'(x) is not equal to 0 for all x such that .**

**If exists and ,then also exists and =** - Apr 12th 2009, 11:19 PMmatheagle
- Apr 12th 2009, 11:54 PMProve It
l'Hôpital's rule - Wikipedia, the free encyclopedia

Does this help? - Apr 13th 2009, 10:06 PMroshanhero
I just could not understand the conditions given there for the L'hospital rule to apply i.e. the one given in the modulus sign.

- Apr 13th 2009, 10:35 PMmatheagle
delta is small so that means for all x's near this a, but x does not equal a since we have the >0

- Apr 14th 2009, 11:25 PMroshanhero
Can you post me the diagram so that I can visualise which will help me to understand the theory.