So Far I found the limit:
Lim x->0 1/(x+1)=1
then this is the scratchwork:
1/(x+1)-1<E when 0< |x-0|< delta
Not sure if I did this inequality right:
|1/(x+1)-1|<E <==>|x/(x+1)|<E <==> |x/(x+1)|< 0E??
Do I have to find a number M??
1/|x+1| less than or equal to M
|1/(x+1)-1|=|x|/|x+1| then I don't know how to keep going, not sure if it's 0E is correct
If you want to have more examples of proves using definition then I recommand you to take a look here: