Find the limits: lim_{xrightarrow2}frac{sqrt{x^2+12}-4}{x-2}

Yasmin

Yasmin

Answered question

2020-11-10

Find the limits:
limx2x2+124x2

Answer & Explanation

firmablogF

firmablogF

Skilled2020-11-11Added 92 answers

We have to find limits:
limx2x2+124x2
Since we have an indeterminate form of type 00, we can apply the L'hospital rule:
limx2x2+124x2=limx2ddx(x2+124)ddx(x2)
limx22x2x2+121
limx2xx2+12=222+12=24+12
=216=24=12
limx2x2+124x2=12

Jeffrey Jordon

Jeffrey Jordon

Expert2022-08-24Added 2605 answers

Answer is given below (on video)

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?