Find the Sum, If It Exists $$0.1 + 0.01 + 0.001 + 0.0001 + \ldots$$

question 31

Multiple Choice

Find the sum, if it exists.
- $$0.1 + 0.01 + 0.001 + 0.0001 + \ldots$$

• A) \(\frac { 111 } { 1000 }\)
• B) \(\frac { 1 } { 9 }\)
• C) \(\frac { 11 } { 100 }\)
• D) Does not exist

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Definitions:

Beta Particles

High-energy, high-speed electrons or positrons emitted by certain types of radioactive nuclei such as the decay of carbon-14.

Gamma Rays

Electromagnetic radiation of the highest energy and shortest wavelength in the electromagnetic spectrum, resulting from radioactive decay or nuclear reactions.

Alpha Particles

Alpha particles are a type of ionizing radiation ejected from the nuclei of some radioactive atoms, consisting of two protons and two neutrons.

Cell's Organelles

Specialized structures within a cell that perform specific tasks, such as energy production, protein synthesis, and processing of genetic information.