math help someone please? find the limit?

Question

Find the limit as x approaches 0.

√(1+x) - √(1-x)

______________

.......x

Update:

How can i manipulate this so as to not have a 0 for the denominator?

Update 2:

can you show the steps please?

Answer 1

Favorite Answer

Rationalize it

Multiply num. and den. by sqrt(1+x) + sqrt(1-x)

you should eventually get 2/2 so the limit at 0 is 1