Find the Taylor Series Generated by F at X = $$f ( x ) = \frac { 1 } { x ^ { 2 } } , a = 10$$

question 152

Multiple Choice

Find the Taylor series generated by f at x = a.
- $$f ( x ) = \frac { 1 } { x ^ { 2 } } , a = 10$$

• A) \(\sum _ { n = 0 } ^ { \infty } \frac { ( - 1 ) ^ { n } n ( x - 10 ) ^ { n } } { 10 ^ { n + 2 } }\)
• B) \(\sum _ { n = 0 } ^ { \infty } \frac { ( - 1 ) ^ { n } n ( x - 10 ) ^ { n } } { 10 ^ { n + 1 } }\)
• C) \(\sum _ { \mathrm { n } = 0 } ^ { \infty } \frac { ( - 1 ) ^ { \mathrm { n } } ( \mathrm { n } + 1 ) ( \mathrm { x } - 10 ) ^ { \mathrm { n } } } { 10 ^ { \mathrm { n } + 2 } }\)
• D) \(\sum _ { n = 0 } ^ { \infty } \frac { ( - 1 ) ^ { n } ( n + 1 ) ( x - 10 ) ^ { n } } { 10 ^ { n + 1 } }\)

---

Definitions:

Competing Security Interests

Situations where two or more parties have claims over the same collateral or asset, often leading to a conflict that requires legal resolution to determine priority.

Perfection of Fixtures

The legal process by which a secured interest in a fixture, or personal property attached to real property, is established and made enforceable against other creditors or subsequent buyers.

Automatic Perfection

A provision in secured transactions law where a security interest in collateral becomes legally effective and enforceable immediately upon attachment, without additional action required.

Fixture Filing

Fixture filing is a legal claim on personal property that has been attached or fixed to real estate in a manner that it is considered part of the real property.