Homework Help: math calculus please help!

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

No one has answered this question yet.

Answer this Question

Related Questions

Calculus - Could someone please help me with these questions;I was having ...
Algebra - Rationalize each expression by building perfect nth root factors for ...
Math - Just need some help... Directions: Multiply or raise to the power as ...
Math: Please check - Which radical expression is in simplified form? A.) 11y/3 ...
Math - Could someone please help me with this math problem? This is what I have ...
Math: Please check - Simplify: -11 square root 112 *A.) -44 square root 7 B.) -...
Algebra - Use the quadratic formula to solve the equation. Give exact answers: ...
Math - What is the square root of 12? 3.464 Well, that's true, but you could...
calculus - Evaluate lim as x-> 0 square root (x+1) - square root (2x+1...
calculus - Evaluate lim as x-> 0 square root (x+1) - square root (2x+1...

For Further Reading

First Name:
School Subject:
Answer: