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Q: Pre-Calculus / Calculus Problem - Evaluating a Limit ( No Answer,   2 Comments )
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 Subject: Pre-Calculus / Calculus Problem - Evaluating a Limit Category: Science > Math Asked by: tamkins-ga 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/calculus-problem-1-limit-challenge.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 alternative-math 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.```
 ```Hint: Multiply both the numerator and denominator by [sqrt(1 + 2(x+h) ) + sqrt(1+2x) ].```
 `Thank you! this works :-)`