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Results tagged with limits-and-convergence
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user 34490
Convergence of series, sequences and functions and different modes of convergence.
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Letting $S(m)$ be the digit sum of $m$, then $\lim_{n\to\infty}S(3^n)=\infty$?
For any $m\in\mathbb N$, let $S(m)$ be the digit sum of $m$ in the decimal system.
For example, $S(1234)=1+2+3+4=10, S(2^5)=S(32)=5$.
Question 1 :Is the following true?
$$\lim_{n\to\infty}S(3^n)=\ …
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