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109.38 A visual proof of convergence of a hyperpower sequence

Published online by Cambridge University Press:  15 October 2025

Bikash Chakraborty
Bikash Chakraborty*
Affiliation:
Department of Mathematics, Nevanlinna Lab., Ramakrishna Mission Vivekananda Centenary College, Rahara, West Bengal 700118, India e-mail: bikashchakraborty.math@yahoo.com bikashchakrabortyy@gmail.com
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The Mathematical Gazette , Volume 109 , Issue 576 , November 2025 , pp. 526 - 529
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© The Authors, 2025 Published by Cambridge University Press on behalf of The Mathematical Association

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References

Azarpanah, F., Proof without words: convergence of a hyperpower sequence, Mathematics Magazine, 77(5) (2004) p. 393.10.1080/0025570X.2004.11953288CrossRefGoogle Scholar
Mukherjee, R., A visual proof: convergence of a hyperpower sequence – a generalisation, International Journal of Mathematical Education in Science and Technology, 56(1) (2025) pp. 178–179.CrossRefGoogle Scholar
Mező, I., The Lambert W-function: its generalizations and applications, (1st edn.) CRC Press, 2022.CrossRefGoogle Scholar
Haque, N. and Chakraborty, B., Comparing ab and ba via location of zeros, Math. Intelligencer, 47(1) (2025) pp. 40–43.CrossRefGoogle Scholar