algebraic continuity theorem

4 posts in this topic

Posted · Report post

I am helping a friend in introductory real analysis, someone please help me finish, I am stuck.

Want to show that f(x)/g(x) is continuous as x goes to c given that g© is not 0.

|f(x)/g(x) - f©/g©| = |1/(g(x)g©)||f(x)g©-f©g(x)| = |1/(g(x)g©)||f(x)g©-f©g(x)-f(x)g(x) + f(x)g(x)| <= |1/(g(x)g©)||f(x)||g(x)-g©| + |g(x)||f(x)- f©|

Then I draw a Blank.

-1

Share this post


Link to post
Share on other sites

Posted · Report post

Found my mistake !

0

Share this post


Link to post
Share on other sites

Posted · Report post

Hi BMAD,

Hint, to keep ( c ) from turning into © you can insert spaces, or use [c] as a substitute.

Are there others?

(a) (b) © (d) (e) (f) (g) (h) (i) (j) (k) (l) (m) (n) (o) (p) (q) ® (s) (t) (u) (v) (w) (x) (y) (z)

( c ) ( r )

0

Share this post


Link to post
Share on other sites

Posted · Report post

I appreciate it.

0

Share this post


Link to post
Share on other sites

Create an account or sign in to comment

You need to be a member in order to leave a comment

Create an account

Sign up for a new account in our community. It's easy!


Register a new account

Sign in

Already have an account? Sign in here.


Sign In Now

  • Recently Browsing   0 members

    No registered users viewing this page.