Find the Interval of Convergence of the Power Series $\sum _ { n = 0 } ^ { \infty } \left( \frac { x } { 6 } \right) ^ { n }$

question 167

Multiple Choice

Find the interval of convergence of the power series. (Be sure to include a check for convergence at the endpoints of the interval.) $\sum _ { n = 0 } ^ { \infty } \left( \frac { x } { 6 } \right) ^ { n }$

• A) \([ - 6,6 )\)
• B) \(( - 6,6 )\)
• C) \([ - 6,6 ]\)
• D) \(\left( \frac { - 1 } { 6 } , \frac { 1 } { 6 } \right)\)
• E) \(\left[ \frac { - 1 } { 6 } , \frac { 1 } { 6 } \right)\)

Calculate profit-maximizing output and price in multiplant monopoly settings.

Assess the impact of government intervention, through taxes, on prices and output in monopoly markets.

Understand the concept of the Lerner index and its application in measuring monopoly power.

Describe the conditions under which monopolies will produce and how this is affected by changes in marginal costs and demand elasticity.

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