Thread: help with limits

Hi

I need help with the following limit:



where a < r < b and that a,b are constants.

thanks in advance

Apply L'Hopital's rule.

Note the numerator can be written: , and similarly the denominator can be written: .

The derivative with respect to a of the numerator and the denominator are both:

So the limit becomes:

Originally Posted by august

Hi

I need help with the following limit:



where a < r < b and that a,b are constants.

thanks in advance

Can you check what the question should actually say? If a→0 then a is not a constant.

a is a constant but what happens in the limit as it goes to zero?

Apply L'Hopital's rule. You can check your answer by plugging in random positive numbers for r and b and then putting in a small number for a and checking it in your calculator.