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Topic: Sequence limit
Replies: 72   Last Post: Nov 26, 2013 12:07 AM

 Messages: [ Previous | Next ]
 Virgil Posts: 8,833 Registered: 1/6/11
Re: Sequence limit
Posted: Oct 8, 2013 1:49 AM

In article <PaCdnfU6_MUQEM7PnZ2dnUVZ_q2dnZ2d@giganews.com>,
fom <fomJUNK@nyms.net> wrote:

> On 10/7/2013 11:05 PM, Virgil wrote:
> > In article <l2vuel\$dvg\$1@dont-email.me>,
> > David Bernier <david250@videotron.ca> wrote:
> >

> >>> *********************************************************
> >>> "Somehow" explained to Bart Goddard
> >>> *********************************************************
> >>> I am assuming that the most relevant issue was why limit was decided by
> >>> the
> >>> index m and not the base |sin(1/m)| in lim m -> 0 |sin (1/m) |^(m).
> >>>
> >>> The original problem was transformed into equivalent problem as below:
> >>>
> >>> Find lim m -> 0 |sin (1/m) |^(m)

> >
> > As m -> 0 through real values, there will be
> > arbitrarily large values of 1/m for which sin(1/m) = 0
> > (and thus sin (1/m) |^(m) = 0)
> > arbitrarily large values of 1/m at which sin(1/m) = 1
> > (and thus sin (1/m) |^(m) =1).
> >
> > And thus no limit can exist as m -> oo..
> >

>
> What if 0=1?
>
> :-)

That does not normally happen in those fiields in which sine functions
are used.
--

Date Subject Author
10/3/13 Bart Goddard
10/3/13 Karl-Olav Nyberg
10/3/13 quasi
10/3/13 quasi
10/3/13 Karl-Olav Nyberg
10/3/13 quasi
10/4/13 Roland Franzius
10/4/13 quasi
10/5/13 Roland Franzius
10/5/13 quasi
10/26/13 Roland Franzius
10/26/13 karl
10/26/13 Roland Franzius
10/26/13 gnasher729
10/27/13 karl
10/3/13 quasi
10/4/13 Leon Aigret
10/4/13 William Elliot
10/4/13 quasi
10/4/13 William Elliot
10/4/13 quasi
10/4/13 David C. Ullrich
10/4/13 Robin Chapman
10/5/13 Bart Goddard
10/4/13 Bart Goddard
10/4/13 Peter Percival
10/5/13 Virgil
10/4/13 Bart Goddard
10/6/13 David Bernier
10/6/13 Virgil
10/6/13 Bart Goddard
10/7/13 Mohan Pawar
10/7/13 Bart Goddard
10/7/13 gnasher729
10/7/13 Richard Tobin
10/7/13 Robin Chapman
10/7/13 Michael F. Stemper
10/7/13 Michael F. Stemper
10/7/13 David Bernier
10/7/13 fom
10/8/13 Virgil
10/8/13 fom
10/8/13 Virgil
10/8/13 fom
10/4/13 fom
10/4/13 quasi
10/4/13 quasi
10/9/13 Shmuel (Seymour J.) Metz
10/10/13 Bart Goddard
11/5/13 Shmuel (Seymour J.) Metz
11/6/13 Bart Goddard
11/11/13 Shmuel (Seymour J.) Metz
11/12/13 Bart Goddard
11/15/13 Shmuel (Seymour J.) Metz
11/15/13 Bart Goddard
11/6/13 Timothy Murphy
11/8/13 Bart Goddard
11/8/13 Paul
11/8/13 Bart Goddard
11/9/13 Paul
11/9/13 quasi
11/9/13 quasi
11/9/13 quasi
11/13/13 Timothy Murphy
11/13/13 quasi
11/14/13 Timothy Murphy
11/14/13 Virgil
11/14/13 Roland Franzius
11/26/13 Shmuel (Seymour J.) Metz
11/9/13 Roland Franzius
11/9/13 Paul