Prove that the number is transcedental.

**Solution**

Let . Then

which is algebraic. Hence it follows from Weierstrass – Lindemann theorem that , as algebraic, must be transcedental.

The exercise can also be found at mathematica.gr .

A site of university mathematics

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Prove that the number is transcedental.

**Solution**

which is algebraic. Hence it follows from Weierstrass – Lindemann theorem that , as algebraic, must be transcedental.

The exercise can also be found at mathematica.gr .