## If the limit of sequence is zero then so is the limit of sequence multiplied by a bounded one

Solution to Elementary Analysis: The Theory of Calculus Second Edition Section 8 Exercise 8.4 Solution: Let $\epsilon>0$. Since $\lim s_n=0$, there exists $N>0$ such that $$ |s_n-0|=s_n < \frac{\epsilon}{M+1} $$…