Find the sum
\[0.1 + 0.02 + 0.003 + 0.0004 + \dots + \frac{n}{10^n} + \dotsb.\]
Question:
Find the sum
\[0.1 + 0.02 + 0.003 + 0.0004 + \dots + \frac{n}{10^n} + \dotsb.\]
Answer:
Let's think step by step.

user
\frac{10}{81}
Find the sum
\[0.1 + 0.02 + 0.003 + 0.0004 + \dots + \frac{n}{10^n} + \dotsb.\]
train