Zenmo
  • Zenmo
Very small question (will probably take a second), help me understand this textbook example. ~Calculus Limits & Derivatives.
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
chestercat
  • chestercat
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
Zenmo
  • Zenmo
How is that 0?
1 Attachment
thomas5267
  • thomas5267
Why is \(\lim_{x\to a}(x-a)\neq 0\)? \(a-a=0\).
Zenmo
  • Zenmo
So, substitute 0 in \[\lim_{x \rightarrow a}(x-a) \] to get a-a=0?

Looking for something else?

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

More answers

Zenmo
  • Zenmo
substitute 0 for a*
thomas5267
  • thomas5267
Since \(f(x)=x-a\) is continuous you can do that.
Zenmo
  • Zenmo
Ok. Thanks! :)
thomas5267
  • thomas5267
Continuity of \(f(x)=x-a\) can be proven using \(\epsilon\text{-}\delta\) definition of limit.

Looking for something else?

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