We don't have Verizon Communications as a phone company around here that I am aware of...but my good God we have Verizon Wireless. And how I hate them. They have the best service in terms of a cellular network but what a bunch of when it comes to customer service. And what's worse, they know they have the best network too, so they don't really feel the need to...oh, I don't know...not royally screw you on your monthly bill?
That's odd, since I've had the opposite experience -- I've been a Verizon Wireless customer for 4+ years now. Coverage has been good, and so has customer service. I've had to call in a few times because of technical issues with a couple of phones I had, and didn't have any trouble at all.
This includes the "dud" phone I got when I first signed up with them. After about 5 minutes of troubleshooting with the tech, he just told me to take it back to the store, which I did, and they swapped it up for a new one with no fuss at all.
Also, keep in mind that Verizon != Verizon Wireless. They are two separate companies with two different groups of investors.
This is part of one of Zeno's Paradoxes, in which you keep getting halfway further with each summation. Mathematically, the summation equals 1, but only when n = ∞
I don't agree with the explanation in full, but that's generally because I'm not a math history buff. It leaves a little bit to be desired in order for the curious ones to research and study what that's all about, especially if they're just starting out intermediate calculus and analysis. I like the first two points regardless since there's at least a remotely decent link to further information contained therein.
Either way, the last term is an elementary geometric series. If you take a finite number of partial sums Sn for some n (e.g., 1/2, 1/2 + 1/4 = 3/4, 1/2 + 1/4 + 1/8 = 7/8, etc.), you start noticing that Sn = 1 - (1 / 2n) because 3/4 = 4/4 - 1/4 = 1 - 1/22 and 7/8 = 8/8 - 1/8 = 1 - 1/23. If you let S be the limit of that partial sum Sn as n approaches infinity, the series converges to S = 1. Plug and chug from there.
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(no subject)
Date: 2006-12-18 08:26 pm (UTC)(no subject)
Date: 2006-12-18 08:31 pm (UTC)This includes the "dud" phone I got when I first signed up with them. After about 5 minutes of troubleshooting with the tech, he just told me to take it back to the store, which I did, and they swapped it up for a new one with no fuss at all.
Also, keep in mind that Verizon != Verizon Wireless. They are two separate companies with two different groups of investors.
(no subject)
Date: 2006-12-18 11:12 pm (UTC)Math Geekery 101
Date: 2006-12-19 01:15 am (UTC)In other words: 0.002 + (-1) + 1 = $0.002
Re: Math Geekery 101
Date: 2006-12-19 03:40 am (UTC)I don't agree with the explanation in full, but that's generally because I'm not a math history buff. It leaves a little bit to be desired in order for the curious ones to research and study what that's all about, especially if they're just starting out intermediate calculus and analysis. I like the first two points regardless since there's at least a remotely decent link to further information contained therein.
Either way, the last term is an elementary geometric series. If you take a finite number of partial sums Sn for some n (e.g., 1/2, 1/2 + 1/4 = 3/4, 1/2 + 1/4 + 1/8 = 7/8, etc.), you start noticing that Sn = 1 - (1 / 2n) because 3/4 = 4/4 - 1/4 = 1 - 1/22 and 7/8 = 8/8 - 1/8 = 1 - 1/23. If you let S be the limit of that partial sum Sn as n approaches infinity, the series converges to S = 1. Plug and chug from there.
(no subject)
Date: 2006-12-19 01:01 am (UTC)(no subject)
Date: 2006-12-19 04:46 am (UTC)(no subject)
Date: 2006-12-19 04:50 am (UTC)(no subject)
Date: 2006-12-19 05:18 am (UTC)