How to solve following limit I've been struggeling a bit with the following limit: lim...

Jorden Pace

Jorden Pace

Answered

2022-07-07

How to solve following limit
I've been struggeling a bit with the following limit:
lim x 0 a a 2 x 2 x 2
The solution is:
If a < 0 then . If a > 0 then 1 2 a
But I don't know how to get there.
Thank you

Answer & Explanation

potamanixv

potamanixv

Expert

2022-07-08Added 15 answers

lim x 0 a a 2 x 2 x 2 = lim x 0 a a 2 x 2 x 2 a + a 2 x 2 a + a 2 x 2 = lim x 0 x 2 x 2 ( a + a 2 x 2 ) = lim x 0 1 a + a 2 x 2 = 1 a + a 2
Now the tricky part is how you simplify a 2 base on the sign of a.
tripes3h

tripes3h

Expert

2022-07-09Added 5 answers

We have that
lim x 0 a a 2 x 2 x 2 = lim x 0 a 2 a 2 + x 2 x 2 ( a + a 2 x 2 ) = 1 a + | a |
from here you can do

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get your answer.

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

Didn't find what you were looking for?