Find the Value of the Infinite Product $e^{1 / 8} \cdot e^{1 / 16} \cdot e^{1 / 32} \cdot e^{1 / 64} \cdot \ldots \cdot e^{1 / 2^{n+2}}$

question 14

Short Answer

Find the value of the infinite product $e^{1 / 8} \cdot e^{1 / 16} \cdot e^{1 / 32} \cdot e^{1 / 64} \cdot \ldots \cdot e^{1 / 2^{n+2}}$ to 2 decimal places.

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Definitions:

Efficiency

The ability to accomplish a task or job with the minimum expenditure of time and effort.

Margaret Sanger

An American birth control activist, sex educator, and nurse who helped legalize contraception and founded the organization that became Planned Parenthood.

Birth-Control Devices

Any number of instruments or medications designed to prevent pregnancy as part of family planning.

Socialist Power

Describes a political ideology emphasizing the control of the means of production, distribution, and exchange by the community as a whole.