Discussion about math, puzzles, games and fun.   Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ • π ƒ -¹ ² ³ °

You are not logged in.

|
Options

bob bundy
2012-11-13 05:29:24

hi mathteacher005

Welcome to the forum and thanks for the link.

I will convert your post so that the expression is in  Latex and the link easier to use.

numberempire.com/limitcalculator.php?fu … =two-sided

Bob

mathteacher005
2012-11-13 01:26:50

Hello! The answer is \lim_{x\to\infty }\left({{2\,{\it cx}+1}\over{1-2\,{\it cx}}}\right)^{{{1}\over{x}}} = 1.
You can check it here.
My friend show me few weeks ago and now my students always use it for checking the answers:) Good Luck!

bobbym
2012-11-08 08:01:57

I use Schick's or Gillette's razor for a better shave.

anonimnystefy
2012-11-08 08:00:10

Being simplest doesn't makng true. And, yes, I am familiar with the Occam's razor.

bobbym
2012-11-08 07:55:33

Isn't the simplest typo that she wrote 4 when she meant 1?

anonimnystefy
2012-11-08 07:53:17

This looks too much like a book problem. I do not think that is what it wants.

bobbym
2012-11-08 07:48:42

Maybe the questioner just wants the OP to see that the answer is 1. To spot the inconsistency.

anonimnystefy
2012-11-08 07:45:48

Yes. So I am thinking that it might be a typo of the function whose limit is being taken.

bobbym
2012-11-08 07:40:18

#### anonimnystefy wrote:

The first limit is 1 for every c.

There is no c that will give a limit of 4. You said so yourself. The limit is independent of c. That is why it is trivial.

anonimnystefy
2012-11-08 07:36:30

Not really. The question would be close to trivial. I think the question is more likely to be asking for the constant c for which a limit has the value 4 and then finding the same limit but with 2c instead of the c, whose value we now know.

bobbym
2012-11-08 07:33:30

But doesn't it follow?

anonimnystefy
2012-11-08 07:25:20

I don't think that is the misprint.

bobbym
2012-11-08 06:27:03

find the limit of ((1+2cx)/(1-2cx))^(1/x) as x tends to infinity

So the answer should be 1 because 2c=c.

anonimnystefy
2012-11-08 06:20:27

Maybe it is a misprint or a typo.

bobbym
2012-11-08 05:21:06

Hi;

That is what I am getting, so the question does not make any sense.