Determine Which One of the P-Series Below Is Divergent $\sum _ { n = 1 } ^ { \infty } \frac { 1 } { n ^ { 03 } }$

question 13

Multiple Choice

Determine which one of the p-series below is divergent.

• A)\(\sum _ { n = 1 } ^ { \infty } \frac { 1 } { n ^ { 03 } }\)
• B) \(\sum _ { n = 1 } ^ { \infty } n ^ { - 4 x }\)
• C) \(\sum _ { n = 1 } ^ { \infty } \frac { 1 } { n ^ { 3 e } }\)
• D) \(\sum _ { n = 1 } ^ { \infty } \frac { 1 } { n ^ { 4 } }\)

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Definitions:

Cones

Cells in the eye's retina called photoreceptors are accountable for perceiving color and operate optimally in well-lit conditions.

Blind Spot

An area in the visual field that lacks photoreceptor cells because it is where the optic nerve exits the eye, leading to a gap in visual information.

Optic Nerve

A duo of nerves responsible for carrying visual data from the retina directly to the brain.

Retina

The light-sensitive layer of tissue at the back of the eye that is responsible for processing visual information.