

Subject:
PreCalculus / Calculus Problem  Evaluating a Limit
Category: Science > Math Asked by: tamkinsga List Price: $10.00 
Posted:
18 May 2006 12:29 PDT
Expires: 18 May 2006 13:07 PDT Question ID: 730146 
Please describe (specifically) how to solve the problem posted here: http://alethiography.blogspot.com/2006/05/calculusproblem1limitchallenge.html In other words, I want the steps to solve this problem: find the limit, as h approaches 0, of (sqrt(1 + 2(x+h))  sqrt(1 + 2x)) / h I know the correct answer, so what I am looking for is the actual steps taken to get there  the algebra needed to make the formula above (or posted much more neatly at the link above) solvable when h = 0. Just to be clear, I do not want just the answer, nor do I want an alternativemath way of solving this (for instance, by using the chain rule to attain the derivative of sqrt(1 + 2x))  what I'm trying to learn is the underlying technique needed to solve this type of problem. 

There is no answer at this time. 

Subject:
Re: PreCalculus / Calculus Problem  Evaluating a Limit
From: kingalga on 18 May 2006 12:58 PDT 
Hint: Multiply both the numerator and denominator by [sqrt(1 + 2(x+h) ) + sqrt(1+2x) ]. 
Subject:
Re: PreCalculus / Calculus Problem  Evaluating a Limit
From: tamkinsga on 18 May 2006 13:07 PDT 
Thank you! this works :) 
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