Jeevan G.

asked • 05/21/19

How to know when to do certain steps to find the limit of an indeterminate form

For the function


f(x) = sqrt(x2 - 2) - sqrt(x2 - x)


when taking the limit of x as it approaches infinity, if I use a conjugate first, and then divide the numerator and the denominator by the highest power of x, I get 1/2 as x approaches infinity. However, if I divide the numerator and the denominator by the highest power of x first, and then apply the conjugate method, I still get 0/0. Is there any way in determining when to use which method first?

1 Expert Answer

By:

Still looking for help? Get the right answer, fast.

Ask a question for free

Get a free answer to a quick problem.
Most questions answered within 4 hours.

OR

Find an Online Tutor Now

Choose an expert and meet online. No packages or subscriptions, pay only for the time you need.