Friday

March 27, 2015

March 27, 2015

Posted by **MW** on Wednesday, March 18, 2009 at 8:32pm.

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

It will be easier to understand if you write it out..

How would I algebraically do this? (The answer is -1/2)

Help please?

- Pre Calc -
**drwls**, Wednesday, March 18, 2009 at 10:50pmI suggest you use L'Hopital's rule. The limit of the ratio of (1/(sqrt(1+x))-1)] to x is the ratio of the derivatives of numerator and denominator.

The derivative of x (the denominator) is 1.

The derivative of 1/(sqrt(1+x) -1 at x = 0 is (-1/2)(1+x)^-3/2 = -1/2

So the limit is (-1/2)/1 = -1/2

**Answer this Question**

**Related Questions**

math calculus please help! - l = lim as x approaches 0 of x/(the square root of...

Calc Please Help - Are these correct? lim x->0 (x)/(sqrt(x^2+4) - 2) I get 4/...

Calc. Limits - Are these correct? lim x->0 (x)/(sqrt(x^2+4) - 2) I get 4/0...

calc - Are these correct? lim x->0 (x)/(sqrt(x^2+4) - 2) I get 4/0= +/- ...

CALC - (sqrt(9x+5)-sqrt(68))/(x-7) limit as x approaches 7 the answer i got was...

CALC - (sqrt(9x+5)-sqrt(68))/(x-7) limit as x approaches 7 the answer i got was...

math - i need some serious help with limits in pre-calc. here are a few ...

calculus - I was doing calc hw and I am stuck on a part of a question. =(1/10)-(...

calc - Use L’Hopital’s rule to find the limit of this sequence (n^100)/(e^n) ......

AP Calc (Limits) - I'm trying to factor this equation in order to find its limit...