Posted by **ronan** on Wednesday, September 27, 2006 at 8:27am.

l = lim as x approaches 0 of x/(the square root of (1+x) - the square root of (1-x)

decide whether:

l=-1

or

l=0

or

l=1

Let me make sure I understand the question. Do we have

lim x->0 x/[sqrt(1+x) - sqrt(1-x)] ?

If so then multiply the expression by

[sqrt(1+x) + sqrt(1-x)]/[sqrt(1+x) + sqrt(1-x)]

to get

(x*[sqrt(1+x) + sqrt(1-x)])/[(1+x) - (1-x)]=

(x*[sqrt(1+x) + sqrt(1-x)])/2x=

=limx->0 [sqrt(1+x) + sqrt(1-x)]/2=

something you can do.

biz

## Answer This Question

## Related Questions

- Math simplifying mixed radicals - Please help me simplify these following mixed ...
- Math - What are the solution sets of the following 3 problems,the square root of...
- Math simplifying mixed radicals - Please help me simplify these following mixed...
- Calculus - A rectangle is bounded by the x axis and the semicircle = square root...
- college pre-calculus - simplify: square root (4/3)-square root (3/4) A. 2-...
- Math ~CHECK MY ANSWER~ - 1) Which of these is a rational number? a. Pi b. Square...
- Algebra - Rationalize each expression by building perfect nth root factors for ...
- math - Say if these numbers make a right triangle and a Pythagorean triple: 2, 2...
- Algebra - Use the quadratic formula to solve the equation. Give exact answers: ...
- Calculus - Could someone please help me with these questions;I was having ...

More Related Questions