Proposition: Alternating Sum of Binomial Coefficients

The alternating binomial coefficients sum up to \(n\ge 1\), formally \[\sum_{k=0}^n(-1)^n \binom nk=0.\]

Proofs: 1


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References

Bibliography

  1. Forster Otto: "Analysis 1, Differential- und Integralrechnung einer Veränderlichen", Vieweg Studium, 1983