/sci/ - how 2 proof

Name: Anonymous 2009-01-28 10:57

The integral of 1/x from 0 to 1 diverges.

Name: Anonymous 2009-01-28 14:13

>>1

Integrate from epsilon to 1, where 0<epsilon<1, then show that the answer diverges as you take the limit epsilon --> 0.

Name: Anonymous 2009-01-28 14:59

If you integrate you get ln(x)... which is not defined at zero.

Name: Anonymous 2009-01-28 15:16

>>3

That doesn't prove anything.

Name: Anonymous 2009-01-28 16:59

>>4

no but the limit as x approaches zero from the right for ln(x)would be negative infinity

int(1/x, 0, 1) = ln(1) - ln(x) (as x goes to 0)= 0 - - infinity =infinity

Name: Anonymous 2009-01-28 22:47

>>5
that's a different thing fag

Name: Anonymous 2009-01-29 0:18

>>5
No, then you should prove that lim x->0+ of ln(x) is -infty. The way to do it, is for each natural number N, give a partition of (0,1] such that, the lower Riemann sums surpass N (Hint: you can use that the sum of 1/n diverges)

Name: Anonymous 2009-01-29 1:23

>>7 [0,1]

Name: Anonymous 2009-01-29 10:44

>>7
No, then you should prove that lim x->0+ of ln(x) is -infty.

Why would you need to prove that? Look at the graph --ah, nevermind. Fucking mathfags.

Name: Anonymous 2009-01-29 12:09

>>9
lol physics fags. If it was up to you guys Pi would only be known as "3.1415, plus or minus 0.0005".

Name: Anonymous 2009-01-30 11:00

>>10

hahahah... whatever. Enjoy "proving" something any college algebra student can already see.

Name: Anonymous 2009-01-31 0:32

>>11

astrophysics-fag here.

You can't "see" it. If you think you can, boy are you in trouble for your future courses

Name: mo‮8pE! to‬pui‮ !1uHaijp7IU!n9e4aOufPFUPnvI 2009-01-31 5:32

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Name: Anonymous 2009-01-31 17:45

int[0->1] dx/x = lim(a->+inf) int[0->1] dy + int[1->a] dy/y
= lim(a->+inf) (1 - 0) + (ln(a) - ln(1))
= lim(a->+inf) 1 + ln(a) = +inf

Name: Anonymous 2009-01-31 18:09

>>12

Yes I can. Like I said, just look at the graph.

Name: Anonymous 2009-01-31 22:54

>>15
One hamburguer, with french fries, and a soda, please.

Name: Anonymous 2009-01-31 23:06

>>15

...err maybe I should clarify. Look at the graph of y=ln(x)

Name: Anonymous 2009-01-31 23:54

>>13
fag

Name: Anonymous 2009-02-04 21:33

pi is alabout 22/7

how 2 proof

1 Name: Anonymous 2009-01-28 10:57

2 Name: Anonymous 2009-01-28 14:13

3 Name: Anonymous 2009-01-28 14:59

4 Name: Anonymous 2009-01-28 15:16

5 Name: Anonymous 2009-01-28 16:59

6 Name: Anonymous 2009-01-28 22:47

7 Name: Anonymous 2009-01-29 0:18

8 Name: Anonymous 2009-01-29 1:23

9 Name: Anonymous 2009-01-29 10:44

10 Name: Anonymous 2009-01-29 12:09

11 Name: Anonymous 2009-01-30 11:00

12 Name: Anonymous 2009-01-31 0:32

13 Name: mo‮8pE! to‬pui‮ !1uHaijp7IU!n9e4aOufPFUPnvI 2009-01-31 5:32

14 Name: Anonymous 2009-01-31 17:45

15 Name: Anonymous 2009-01-31 18:09

16 Name: Anonymous 2009-01-31 22:54

17 Name: Anonymous 2009-01-31 23:06

18 Name: Anonymous 2009-01-31 23:54

19 Name: Anonymous 2009-02-04 21:33