Find the Limit of the Sequence (If It Exists) $\alpha _ { n } = \frac { ( - 4 ) ^ { n + 1 } } { n ^ { 2 } }$

question 200

Multiple Choice

Find the limit of the sequence (if it exists) .
$\alpha _ { n } = \frac { ( - 4 ) ^ { n + 1 } } { n ^ { 2 } }$

• A) \(\lim _ { n \rightarrow \infty } \alpha _ { n } = - 4\)
• B) \(\lim_ { n \rightarrow \infty } \alpha _ { n } = 0\)
• C) \(\lim _ { n \rightarrow \infty }\alpha _ { n } = 4\)
• D) \(\lim _ { n \rightarrow \infty } \alpha _ { n } = \frac { 1 } { 4 }\)
• E)does not exist

---

Definitions:

Stand Up to Cancer

A charitable program that raises funds to accelerate innovative cancer research and facilitate collaborations among researchers.

Remote Broadcasting

The practice of transmitting audio and video content from a location outside a traditional studio setting, often live.

#NoFoodWasted Campaign

A social media or marketing initiative aimed at reducing food waste through awareness, education, and specific action steps.

Content Producers

In the entertainment field, those involved in content production and/or distribution, such as filmmakers and studios.