Determine whether the series converges. If it converges, give the sum. 10'+ 10-+ 10 + 10 n+ . Choose the correct answer below. O A. The series converges to 10. O B. The series converges to 11. 1 O C. The series converges to 1 O D. The series converges to 10 E. The series diverges.
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#10
![**Problem Statement:**
Determine whether the series converges. If it converges, give the sum.
\[ 10^{-1} + 10^{-2} + 10^{-3} + \cdots + 10^{-n} + \cdots \]
**Options:**
A. The series converges to 10.
B. The series converges to 11.
C. The series converges to \( \frac{1}{9} \).
D. The series converges to \( \frac{1}{10} \).
E. The series diverges.
**Instructions:**
Choose the correct answer below by selecting the appropriate option.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F59d94971-c4ee-4188-b521-ed6cff9deaa9%2F6b1dd6e8-b91c-4519-8387-cf3fb45239b7%2Fyrg34u9_processed.png&w=3840&q=75)
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