Here's what I did (but I'm not sure if it's right) -
I used that ln |3/2| = ln |(5/2)-1|
and
ln |(5/2)-1| = (1/2) - (1/2)(1/2)^2 +(1/3)(1/2)^3 + ... from the series i found in part b
and i simplified and i got
(1/2) - (1/8) + (1/24) + ..
and i found which fraction is less than 0.05 which is 1/24 and i just found the value of the series until (1/24) so that would be (1/2) - (1/8) which equals 3/8 which is what the answer sheet says... so i'm guessing that's how they did it? I'm not exactly sure about how to do it but this is just a guess based from what I saw
I think you're supposed to use the Remainder Estimation Theory, but I can't really remember how to do it, even with looking at the notes. Sorry about that.
4 comments:
Here's what I did (but I'm not sure if it's right) -
I used that ln |3/2| = ln |(5/2)-1|
and
ln |(5/2)-1| = (1/2) - (1/2)(1/2)^2 +(1/3)(1/2)^3 + ... from the series i found in part b
and i simplified and i got
(1/2) - (1/8) + (1/24) + ..
and i found which fraction is less than 0.05 which is 1/24 and i just found the value of the series until (1/24) so that would be (1/2) - (1/8) which equals 3/8 which is what the answer sheet says... so i'm guessing that's how they did it? I'm not exactly sure about how to do it but this is just a guess based from what I saw
I think you're supposed to use the Remainder Estimation Theory, but I can't really remember how to do it, even with looking at the notes. Sorry about that.
Oh, that sounds good, Maria. It makes sense. So yeah, scratch what I said then.
How come x=1/2?
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