Re: need with my sons homework please
From: G.E.Ivey (George.Ivey_at_gallaudet.edu)
Date: 09/28/04
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Date: Tue, 28 Sep 2004 14:13:41 +0000 (UTC)
On 28 Sep 2004, Andreas wrote:
>Hello everyone and greetings form cold sweden
>
>I have a terrible problem with my sons homework and since I do really
>wanna help him im turning to you guy for help.
>
>The problem is that hes got to calculate (Im from sweden so hope my
>english disturbe you to much :))the following:
>"calculate the function e^h-1/h when h moves towards 0" and the other
>one:
>"calculate (1-x^2)/(1-x) when x moves towards 1"
>
>Now what in gods name is all this? I know ordinary algebra but this?
>Ive searched the net and found that the function isnt defined for the
>number 0 and 1 and some examples but still cant get it right! any
>suggestions or solutions would be greatly appriciated.
>
>Thanks
>Andreas R
>
>Ive also posted this message to you guys since the swedish groups are
>reaaaally slow to answer.
This is the beginning of Calculus. If you haven't taken calculus, then I wouldn't expect you to understand it. However, if it is your son's homework, he should! Try making him explain it to you (and if he can't, make him get out his textbook and really go over it with him).
For the second one, finding the limit of (1-x^2)/(1-x) as x goes to 0, you can factor 1-x^2= (1-x)(1+x) and so, for any x other than 0,
(1- x^2)/(1- x)= 1+ x and has the same limit as x goes to 0.
For the first one, finding the limit of (e^h-1)/h as h goes to 0, that's either very easy or very hard depending on what knowledge of calculus you (or, more correctly, your son) have. The answer is 1 but I don't know how to explain it to you without using calculus.
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