Question: 1, when x is rational ; Question 3. (Total 60pts) We know the Dirichlet function f(x) = when is irrational is nowhere continuous. In a

 1, when x is rational ; Question 3. (Total 60pts) We

1, when x is rational ; Question 3. (Total 60pts) We know the Dirichlet function f(x) = \\when is irrational is nowhere continuous. In a classical work of Karl W. Weierstrass, a prominent German mathematician, in 1872, he discovered a continuous function which is nowhere differentiable. Later, Godfrey H. Hardy, a prominent British mathematician, gave a much better result in his 1916 paper "Weierstrass's Non-differentiable Function" published in the prestigious Transactions of the American Mathematical Society https://www.ams.org/journals/tran/1916-017-03/S0002-9947-1916-1501044-1/ https://www.ams.org/journals/tran/1916-017-03/$0002-9947-1916-1501044-1/80002-9947-1916-1501044-1.pdf Read this profound research article and understand as much as you can the beautiful mathematics involved. Write a report of your understanding and appreciation of this paper

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