Determine Whether the Improper Integral Converges or Diverges, and If $$\int _ { 3 } ^ { \infty } \frac { 1 } { x ^ { 3 } } d x$$

question 77

Short Answer

Determine whether the improper integral converges or diverges, and if it converges, find its value.
$$\int _ { 3 } ^ { \infty } \frac { 1 } { x ^ { 3 } } d x$$

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Definitions:

Supply Curve

A supply curve graphically represents the relationship between the price of a good and the quantity of the good that producers are willing and able to supply, typically sloping upwards.

Demand Curve

A graph showing the relationship between the price of a good and the quantity demanded by consumers, typically sloping downward from left to right.

Tax

An obligatory fiscal contribution or another form of assessment enacted by a governmental body on individuals or entities, aimed at generating revenue for government activities and public spending.

Equilibrium Price

The price at which the quantity of a good demanded by consumers equals the quantity supplied by producers, resulting in a stable market condition.