Find the Values of X for Which the Geometric Series $$\sum _ { n = 0 } ^ { \infty } - 6 ^ { n } x ^ { n }$$

question 25

Multiple Choice

Find the values of x for which the geometric series converges.
- $$\sum _ { n = 0 } ^ { \infty } - 6 ^ { n } x ^ { n }$$

• A) \(| x | < 6\)
• B) \(| x | < \frac { 1 } { 6 }\)
• C) \(| x | < 12\)
• D) \(| x | < 1\)

---

Definitions:

Sunset Clause

A provision within a law, regulation, or contract that sets an expiration date for the document's effectiveness unless extended or made permanent.

Charter of Rights

A document that outlines and guarantees fundamental freedoms and rights to individuals, often within a constitutional framework.

Freedoms

The powers or rights to act, speak, or think as one wants without hindrance or restraint.

Legal System

The framework of rules, courts, and processes established by a government to administer justice and resolve legal disputes.