Differentiate the Series For $- \frac { 1 } { x }$

question 61

Multiple Choice

Differentiate the series for $- \frac { 1 } { x }$ to find the power series for the function $f ( x ) = \frac { 6 } { x ^ { 2 } }$ .

• A) \(6 \sum _ { n = 0 } ^ { \infty } ( - 1 ) ^ { n + 1 } n ( x - 1 ) ^ { n - 1 }\)
• B) \(\sum _ { n = 1 } ^ { \infty } ( - 6 ) ^ { n } n ( x - 1 ) ^ { n - 1 }\)
• C) \(6 \sum _ { n = 1 } ^ { \infty } ( - 1 ) ^ { n + 1 } n ( x - 1 ) ^ { n - 1 }\)
• D) \(\sum _ { n = 0 } ^ { \infty } ( - 6 ) ^ { n - 1 } n ( x - 1 ) ^ { n }\)
• E) \(\sum _ { n = 0 } ^ { \infty } ( - 6 ) ^ { n - 1 } n ( x - 1 ) ^ { n + 1 }\)

---

Definitions:

Term Test

An examination conducted during the academic term to assess a student's understanding of the course material covered up to that point.

Average Score

The sum of all individual scores divided by the number of scores, used to find the typical or middle value in a set of numbers.

Mill Rates

Mill Rates are used in property tax assessments and represent the amount per $1,000 of assessed value of property. It is used to calculate the property taxes owed by property owners.

Property Tax

A levy on property that the owner is required to pay, usually collected by local government.