I only have two questions left in my homework that's due tonight before midnight and I need help with them.
1) Prove the statement using the ε, δ definition of a limit.
lim x^2 = 0
x→0
Given ε > 0, we need δ > 0 such that if 0 < |x − 0| < δ, then |x^2 − 0| < ε ⇔ (blank) < ε ⇔ |x|< (blank). Take δ = (blank). Then 0 < |x − 0| < δ right double arrow implies |x^2 − 0| < ε. Thus, lim x^2 = 0 by the definition of a limit.
x→0
2) Use the given graph of f to find a number δ such that if
|x − 1| < δ then |f(x) − 1| < 0.2 δ = (Blank)
given graph: http://www.webassign.net/scalcet7/2-4-001.gif

Hey! We 've verified this expert answer for you, click below to unlock the details :)

I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!

So are the (blank)s all the things that you have to fill in?

Looking for something else?

Not the answer you are looking for? Search for more explanations.

## More answers

Looking for something else?

Not the answer you are looking for? Search for more explanations.