Use the Binomial Series to Expand the Function as a Power

question 110

Short Answer

Use the binomial series to expand the function as a power series. Find the radius of convergence.
$$\frac { 1 } { ( 4 + x ) ^ { 5 } }$$

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Definitions:

East Australian Current

A warm ocean current that flows from the tropical Coral Sea, southward along the eastern coast of Australia.

Precipitation

Any form of water - liquid or solid - falling from the atmosphere to the Earth's surface, including rain, snow, and hail.

Rain Forests

Tropical forests characterized by high rainfall, with annual rainfall between 1750 and 2000 mm.

Sea Surface Temperatures

The temperature of the surface layer of the ocean, a key factor affecting climate and weather patterns globally.