Post Reply 
HP 48GX Collector’s Edition (merged) - please don't start two threads
11-21-2023, 08:45 PM (This post was last modified: 11-21-2023 08:52 PM by brouhaha.)
Post: #37
RE: HP 48GX Collector’s Edition (merged) - please don't start two threads
(11-21-2023 08:30 PM)Johnh Wrote:  On the question of what 0^0 equals, obviously it's a conundrum, but I'm sure proper mathematicians are clear on what it should be. But here's my take, and the answer is 1:

If you say that 0^0 should be the limit of x^x as x approaches zero, then you can easily see the result heading towards 1 ie:.

And on the other hand, you can just as easily look at it as the limit of 0^x, as x approaches 0 from the right:

0^3 = 0
0^2 = 0
0^1 = 0
0^0 = ?

You can trivially construct cases that approach 0^0 from other directions, and yield other limiting values. This is why 0^0 is generally considered to be undefined.

There are good arguments for considering 0^0 to be1, but when doing so one should still be aware that it is actually a discontinuity, and that considering it to be 1 is an adopted convention and not literally "the true value" of 0^0.
Find all posts by this user
Quote this message in a reply
Post Reply 


Messages In This Thread
HP 48GX Collector's Edition - M0R33z - 05-04-2023, 08:55 AM
RE: HP 48GX Collector’s Edition (merged) - please don't start two threads - brouhaha - 11-21-2023 08:45 PM
RE: HP 48GX Collector's Edition - gwh - 05-04-2023, 02:54 PM
RE: HP 48GX Collector's Edition - Jlouis - 05-04-2023, 03:37 PM
RE: HP 48GX Collector's Edition - gwh - 05-05-2023, 07:23 AM
RE: HP 48GX Collector's Edition - HP67 - 05-07-2023, 09:18 PM
RE: HP 48GX Collector's Edition - Namir - 05-07-2023, 10:20 PM
RE: HP 48GX Collector's Edition - grbrum - 05-07-2023, 10:41 PM
RE: HP 48GX Collector's Edition - jonmoore - 05-08-2023, 05:06 PM
RE: HP 48GX Collector's Edition - Brentlee - 05-09-2023, 12:19 AM
HP 48GX Collector’s Edition - M0R33z - 11-19-2023, 02:50 PM
RE: HP 48GX Collector’s Edition - M0R33z - 11-19-2023, 06:21 PM
RE: HP 48GX Collector’s Edition - Kiwi - 11-19-2023, 08:44 PM
RE: HP 48GX Collector’s Edition - M0R33z - 11-19-2023, 08:48 PM
RE: HP 48GX Collector’s Edition - johnb - 11-21-2023, 12:03 AM
RE: HP 48GX Collector’s Edition - FLISZT - 11-21-2023, 01:55 PM
RE: HP 48GX Collector's Edition - M0R33z - 11-19-2023, 08:18 PM
RE: HP 48GX Collector's Edition - carey - 11-20-2023, 07:47 PM
RE: HP 48GX Collector's Edition - lvt - 11-21-2023, 03:08 AM
RE: HP 48GX Collector's Edition - brouhaha - 11-21-2023, 06:54 AM
RE: HP 48GX Collector's Edition - vaklaff - 11-21-2023, 08:10 AM
RE: HP 48GX Collector's Edition - c3d - 11-21-2023, 12:27 PM
RE: HP 48GX Collector's Edition - Allen - 11-21-2023, 12:45 PM



User(s) browsing this thread: 1 Guest(s)