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Grade: 12
        What is L'HOSPITAL rule?how could we apply that?
10 years ago

Answers : (2)

Ramesh V
70 Points
							

The rule is a method for finding the limiting behavior of a rational function whose numerator and denominator tend to zero at a point or if both functions diverge to infinity also.

For example, the limit of the function as the value of x --> 2.     

This meets the conditions since both the numerator and denominator approach 0 as the value of x -->2. The rule states that in such cases, one can take the derivative of the numerator and denominator independently and then find the limit of this ratio. Since the derivative of the numerator is 2x, and the derivative of the denominator is 1, the ratio of the derivatives is the experession 2x/1 or just 2x; and the limit as x approaches two for this function is just 2(2) = 4. In the area near x=2, the value of the original ratio is very near 4.  

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Please feel free to post as many doubts on our disucssion forum as you can. If you find any question difficult to understand post it here and we will get you the answer and detailed solution very quickly.We are all IITians and here to help you in your IIT JEE preparation. All the best.

Regards,
Ramesh
IIT Kgp



10 years ago
JAGABANDHU PANDA
8 Points
							

LHospitalsRule.JPG

10 years ago
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