Hello everyone!

How can I find the limit of . I know that it converges (easy to prove with the integral test), I also know that (The Riemann zeta function) but I don't want to use this.

Could you please tell me how to begin or the entire solution.

(The accuracy must be of so since , I want to find 1.03)

Thanks

(I know the title of this thread is wrong but I can't change it know :()