Quantcast

Got Homework?

Connect with other students for help. It's a free community.

  • across
    MIT Grad Student
    Online now
  • laura*
    Helped 1,000 students
    Online now
  • Hero
    College Math Guru
    Online now

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

jjslocum3 Group Title

Hello, just joining up. Prof. Jerrison is very quick and engaging. I have a question about the proof that differentiability = continuity in lecture 2 (https://itunes.apple.com/us/podcast/lecture-01-derivatives-slope/id354869053?i=80690404) --- did I miss where it was shown that (the limit as x->z of a*b) is equal to (the limit as x->z of a)*(the limit as x->z of b)? The proof seems to hinge on that. It's certainly an intuitive inference, but is there a simple proof of said inference? btw, the proof is the last few minutes of lecture 2 in the link referenced above.

  • one year ago
  • one year ago

  • This Question is Closed
  1. robertehoward Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

    No you didn't miss it. The lectures did not cover limit laws and I don't think they will. Later the professor shows a geometric proof of sin x / x but doesn't use the squeeze theorem. I guess 18.01 isn't too concerned with rigorous proofs but more about giving us an intuition. It's somewhat annoying to me, but I guess we need to trust the process and if we're concerned with more rigor at this stage, we must go outside the class. Btw, I looked for that differentiability implies continuity and found much more indepth proofs such as : http://people.hofstra.edu/stefan_Waner/RealWorld/calctopic1/contanddiffb.html at the bottom of the page.

    • one year ago
  2. JingleBells Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    Also check out Albert Strang's Highlights of Calculus, I found it really useful:http://ocw.mit.edu/resources/res-18-005-highlights-of-calculus-spring-2010/index.htm

    • one year ago
  3. jjslocum3 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    thanks for your replies guys, very helpful!

    • one year ago
    • Attachments:

See more questions >>>

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...

23

  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.