tag:blogger.com,1999:blog-7897235423812277683.post442601171878176042..comments2022-05-03T15:16:51.392+01:00Comments on Ramblings of a Short Fat Failed Physicist: TMA06 M208 BackChris Fhttp://www.blogger.com/profile/03530660309554429226noreply@blogger.comBlogger6125tag:blogger.com,1999:blog-7897235423812277683.post-34313512496740793152011-09-17T22:27:07.790+01:002011-09-17T22:27:07.790+01:00Hi Cheers Steve thanks for your comments I think t...Hi Cheers Steve thanks for your comments I think to some extent you just have to learn these things off by heart and then the underlying logic will reveal itself. A bit like learning chess openings or end games. <br />For example I think I can just about understand the logic behind epsilon delta defintions of continuity and I even managed to get the gist ofthe continuity of the blancmange function but ask me to do these unaided and I would probably fall at the first hurdle.Chrisnoreply@blogger.comtag:blogger.com,1999:blog-7897235423812277683.post-32185568428764121662011-09-16T23:03:22.331+01:002011-09-16T23:03:22.331+01:00'The second series does have alternating terms...'The second series does have alternating terms and both converge to different limits.'<br /><br />Actually, I now think this is rubbish. A series can be made up of two subsequences which both diverge and yet the series can converge.<br /><br />One example is 1 -1 + 1/2 - 1/2 + 1/3 - 1/3 etc.Maths Tutor Wirralhttps://www.blogger.com/profile/06043572594882614573noreply@blogger.comtag:blogger.com,1999:blog-7897235423812277683.post-82468588585093971102011-09-16T23:00:32.640+01:002011-09-16T23:00:32.640+01:00I dropped 2 marks on TMA06 (among others dropped) ...I dropped 2 marks on TMA06 (among others dropped) , by copying and pasting a textbook answer(altering a 5 to a 7).<br /><br />Very annoying when the textbook answers lose marks, as the way the textbook did it was 'not on the mark scheme'.Maths Tutor Wirralhttps://www.blogger.com/profile/06043572594882614573noreply@blogger.comtag:blogger.com,1999:blog-7897235423812277683.post-67355542609096182552011-09-16T22:58:24.393+01:002011-09-16T22:58:24.393+01:00The second series does have alternating terms and ...The second series does have alternating terms and both converge to different limits.<br /><br />But the sum of two series with two different limits is equal to the sum of the two limits.<br /><br />So the original does converge to a definite limit. Wish I knew what it was!Maths Tutor Wirralhttps://www.blogger.com/profile/06043572594882614573noreply@blogger.comtag:blogger.com,1999:blog-7897235423812277683.post-45361841740564139502011-09-16T19:27:19.078+01:002011-09-16T19:27:19.078+01:00ps: I'm not sure the second series would alte...ps: I'm not sure the second series would alternate in sign. Wouldn't it just start at -1 and then converge on zero?<br /><br />I'd be interested to know, if you have the text answer<br /><br />Ta<br />DanThe Particle Jedihttps://www.blogger.com/profile/05246950374445940520noreply@blogger.comtag:blogger.com,1999:blog-7897235423812277683.post-44913979188985857082011-09-16T19:23:01.430+01:002011-09-16T19:23:01.430+01:00Good work on the TMA Chris. 90+ is a cracking sco...Good work on the TMA Chris. 90+ is a cracking score.<br /><br />Best regards<br /><br />DanThe Particle Jedihttps://www.blogger.com/profile/05246950374445940520noreply@blogger.com