# Thread: Induction Help

1. ## Induction Help

Hello,

I think I went wrong somewhere here.
Particularly in the last 2 lines.
Here is a pic of my attempt:
https://www.dropbox.com/s/zkdwts5uhzfuwdy/ex1.1_q47.jpg

2. ## Re: Induction Help

Originally Posted by seal308
Hello,
I think I went wrong somewhere here.
Particularly in the last 2 lines.
Here is a pic of my attempt:
https://www.dropbox.com/s/zkdwts5uhzfuwdy/ex1.1_q47.jpg
Your posting is totally useless because to is unreadable.
If you are serious then learn to post your questions in LaTeX code.

3. ## Re: Induction Help

First time posting, don't know what latex is. But I will google and find out and post again. Thanks. Though, this is the first time I have ever heard someone call my question useless

4. ## Re: Induction Help

Originally Posted by seal308
First time posting, don't know what latex is. But I will google and find out and post again. Thanks. Though, this is the first time I have ever heard someone call my question useless
Not a useless question, just hard to read.

We have a LaTeX system on site. Check out the LaTeX help forum.

-Dan

5. ## Re: Induction Help

Verify that for n>=1 $\displaystyle 1 + \frac{\1}{1!} + \frac{\1}{2!} + \frac{\1}{3!}+ ... + \frac{\1}{n!} \leq 3 - \frac{\1}{n}$
My attempt:
1. Proved for n
2. Assumed for k:
$\displaystyle 1 + \frac{\1}{1!} + \frac{\1}{2!} + \frac{\1}{3!}+ ... + \frac{\1}{k!} \leq 3 - \frac{\1}{k}$
3. prove for k+1
$\displaystyle 1 + \frac{\1}{1!} + \frac{\1}{2!} + \frac{\1}{3!}+ ... + \frac{\1}{k!} + \frac{\1}{k+1!}\leq 3 - \frac{\1}{k+1}$

$\displaystyle \leq 3 - \frac{\1}{k}+ \frac{\1}{k+1!}$

$\displaystyle \leq 3 - \frac{\1}{k}+ \frac{\1}{k+1 * k!}$
$\displaystyle \leq 3 - \frac{\1}{k}+ [ \frac{\1}{k+1} * [3- \frac{\1}{k}]]$

factoring out 3 - 1/k
never mind i figured out my mistake, i didn't realize to leave a 1 when factoring something from itself.

Thanks,

6. ## Re: Induction Help

oh and I'm not sure why I got latex errors, i made sure to put it in:
""

7. ## Re: Induction Help

one advice, just below your message there is a "Go advanced/preview post" - inthat way ou would be able to check your post before posting it , it takes some time from the beginning but it's really helpful,

dokrbb