Find the Smallest Value of N That Will Make the Inequality

question 273

Multiple Choice

Find the smallest value of N that will make the inequality hold for all n > N.
- $$\frac { n ^ { 2 } } { 2 ^ { n } } < 10 ^ { - 3 }$$

• A) 17
• B) 20
• C) 18
• D) 19

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Definitions:

Lexan

A brand name for polycarbonate, a durable plastic used in bullet-proof glass and various consumer products.

Polycarbonate

A durable, tough type of plastic widely used in manufacturing various products, known for its transparency and high impact resistance.

Polymer

Large molecules composed of repeating structural units (monomers) bonded together, exhibiting a broad range of chemical and physical properties.

Neoprene

A synthetic rubber produced by the polymerization of chloroprene, noted for its chemical stability and used in various products such as wetsuits and hoses.