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infinity

Run Example
(%i1)limit(((11*x)/(11*x+8)),x,infinity);
(%o1)                                  1
(%i2) 
Run Example
a(n):=1/2^(2^n);
                                           1
(%o1)                             a(n) := ---
                                            n
                                           2
                                          2
(%i2) b(n):=sum(a(k),k,0,n);
(%o2)                     b(n) := sum(a(k), k, 0, n)
(%i3) limit(b(n),n,infinity);
                                           n
                                          ====
                                          \      1
(%o3)                       limit          >    ---
                            n -> infinity /       k
                                          ====   2
                                          k = 0 2
(%i4) 
Run Example
solve(x = limit(sum(2^(-i),i,1,n),n,infinity), x);
                                             n
                                            ====
                                            \     1
(%o1)                    [x = limit          >    --]
                              n -> infinity /      i
                                            ====  2
                                            i = 1
(%i2) 

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Help for Infinity