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

question 49

Multiple Choice

Find the radius of convergence of the series $\sum _ { n = 0 } ^ { \infty } \left( \frac { x } { 6 } \right) ^ { n }$ .

• A)12
• B)14
• C)1
• D)7
• E)6

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Definitions:

Future Expected Gains

The anticipated benefits or profits that are expected to be realized in the future from investments or decisions made today.

Present Expenditures

Current spending or outflows of money, usually referring to the costs or expenses a business or individual faces at the moment.

MU (Marginal Utility)

The augmented utility or pleasure achieved by consuming an extra unit of a good or service.

Marginal Cost

The outlay required to produce another unit of a product or service.