Limits

[Chaosniper23]

Let H(x)= min {f(x),g(x)} and H(x)=max {f(x),g(x)}. Show that if lim f(x)=L x-->c and lim g(x)=L x-->c, then lim h(x)=L x-->c and lim H(x)=L x-->c.

I got a contradiction. Help? Thanks a bunch.

 

[mmm4444bot]

H(x)= min {f(x),g(x)}

and

H(x)=max {f(x),g(x)}

You may not use the same name to define different functions. What if half of the people in the world were to be named Joe. Can you see any potential confusion in that ?



then lim h(x)=L x-->c

The names h and H do not mean the same thing; they are not interchangeable.

I mean, that's a typographical error, yes? You meant to type H(x), not h(x), I think.

But to which of the two previously-defined functions for H(x) does h(x) refer ?



I got a contradiction. Help?

Do you expect that somebody will be able to find this contradiction, without seeing any of your work ?

Please proofread and correct your post.

Check out the post titled, "Read Before Posting".

Thanks a bunch.