Finding the value of δ when ε = 1 & Finding a number δ that fulfills a condition...

badatmaths

EDIT: I actually solved the first problem correctly...I must've entered it in wrong earlier. I could still use help with the second problem though.

I have my first test of the semester tomorrow and I'm just trying to get everything I don't fully understand out of the way tonight. Any help is appreciated :)

1. The problem statement, all variables and given/known data

1. For the limit below, find values of δ that correspond to the ε values. ε = 1

2. Use the given graph of f(x) = 1/x to find a number δ that fulfills the following condition.


2. Relevant equations

1.

2.



3. The attempt at a solution

1. lim x->1 = 0
Since ε = 1, y=(0+1) and (0-1)

y = 1 and -1
When y=1, x=.851 --- When y=-1, x=1.111

|1-0.851| = 0.149
|1-1.111| = 0.111

Delta = 0.111 ???


2. I'm not really sure how to solve this...