Ramanujan's beastly expressions for pi

[I Ratant]

1. There is no last digit.
2. Were there a last digit, it ought to be either 0 or 9, depending on what decimal expansions you choose.

.
Ran into a digit problem today... answering a satisfaction poll from ATT-Uverse.
Dial 1 for least satisfied, 10 for totally satisfied.
My phones lack a 10 button.
Pushing 1, then 0, the autosurveyor at the other end sees the 1, and gets upset! "We can't be that bad."
Pushing 9, it still wants to see 10.
Can't be done with a touch-tone phone!

 

[Vorpal]

But 88! =
18548264225739843911479684564554628438022096894939
93466844215809868895621840281993191001412448045018
28416633516851199999999999999999999.99999999999...
There is no last digit.

 

[TubbaBlubba]

But 88! =
18548264225739843911479684564554628438022096894939
93466844215809868895621840281993191001412448045018
28416633516851199999999999999999999.99999999999...
There is no last digit.

That's what I thought the play was - the last digit of 87.9999... rather than 88 per se.

 

[Vorpal]

They appear to converge at almost exactly the same rate.

They do: the rate of convergence is exactly the same, a_n+1/a_n → 1/96059601, so we should expect about 8 digits per term.

 

[Madalch]

That's what I thought the play was - the last digit of 87.9999... rather than 88 per se.

When I talk about math, you have to remember that the only math I teach is exceedingly simple. It's either high-school level math, or math for university students who want to teach grade 6 level math.

 

[boooeee]

I am amazed at the interesting ways people have found to calculate pi.

I started a similar thread on this topic a while back: Inefficient Ways to Calculate Pi

 

[Ladewig]

I started a similar thread on this topic a while back: Inefficient Ways to Calculate Pi

I bow to you and your xy-plane explanation. Smartly done.