By Calculating an Appropriate Number of Terms, Determine If the Series

question 65

Multiple Choice

By calculating an appropriate number of terms, determine if the series converges or diverges. If it converges, find the limit $L$ and the smallest integer $N$ such that $\left| a _ { n } - L \right| < 0.01$ for $n \geq N$ ; otherwise indicate divergence.
- $$a _ { n } = \frac { \cos n } { n ^ { 2 } }$$

• A) L = 0, N = 13
• B) L = 0, N = 10
• C) L = 0, N = 8
• D) diverges

---

Definitions:

McCullough After-effect

A phenomenon where prolonged viewing of colored stimuli causes an object to appear in complementary colors when subsequently viewed on a white background.

Pool Their Signals

This concept involves combining multiple indicators or signals to enhance decision-making or analysis.

Bipolar Cells

Bipolar cells are a type of neuron found in the retina, acting as a middle layer that relays signals from photoreceptors to ganglion cells.

Cones

Photoreceptor cells in the retina of the eye responsible for color vision under bright light conditions.