20210906, 18:07  #56 
"Serge"
Mar 2008
Phi(4,2^7658614+1)/2
3·5·641 Posts 

20210906, 19:05  #57  
Feb 2017
Nowhere
5125_{10} Posts 
Quote:
Hmm, function has to be defined everywhere between A and B, and f(A)*f(B) has to be negative. Let's see here. For any positive L, . Clearly f is strictly increasing and tends to so is positive for large enough . For any L > 0, f = 0 has a unique root between 0 and . For L = 4, so A = 0 and B = bracket the root. Code:
? \p50 realprecision = 57 significant digits (50 digits displayed) ? solve(t=0,Pi/4,tan(t)*(Pi+2*t)  4) %1 = 0.71813340130850774559009248053397820152280883833101 

20210906, 22:45  #58 
6809 > 6502
"""""""""""""""""""
Aug 2003
101×103 Posts
2^{2}×7×19^{2} Posts 

20210906, 23:58  #59 
"6800 descendent"
Feb 2005
Colorado
2·11·31 Posts 

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