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- Is it known about the Ramanujan formula for ##\pi## either it has higher approximations or it does not have?

One of the Ramanujan formulae for π is

##(9^2+22^2/19)^{1/4}=3.14159265258##.

It is precise to 9 digits. I did not read about higher approximations so that they are by the same pattern and that describe an arbitrary number of digits of π. Do these higher approximations not exist, or it is not known whether they exist?

One publication of this formula is in http://ramanujan.sirinudi.org/Volumes/published/ram06.pdf on page 43.

Other links about Ramanujan can be found on Google, for instance:

https://en.wikipedia.org/wiki/Srinivasa_Ramanujan

##(9^2+22^2/19)^{1/4}=3.14159265258##.

It is precise to 9 digits. I did not read about higher approximations so that they are by the same pattern and that describe an arbitrary number of digits of π. Do these higher approximations not exist, or it is not known whether they exist?

One publication of this formula is in http://ramanujan.sirinudi.org/Volumes/published/ram06.pdf on page 43.

Other links about Ramanujan can be found on Google, for instance:

https://en.wikipedia.org/wiki/Srinivasa_Ramanujan