Examine the Two Series Below for Absolute Convergence (A), Convergence $\sum _ { n = 1 } ^ { \infty } \frac { ( - 1 ) ^ { n - 1 } } { \ln ( n + 1 ) }$

question 55

Multiple Choice

Examine the two series below for absolute convergence (A) , convergence that is not absolute (C) , or divergence (D) .
1) $\sum _ { n = 1 } ^ { \infty } \frac { ( - 1 ) ^ { n - 1 } } { \ln ( n + 1 ) }$
2) $\sum _ { n = 1 } ^ { \infty } \frac { ( - 1 ) ^ { n - 1 } } { ( \ln ( n + 1 ) ) ^ { 2 } }$

• A)1A, 2A
• B)1A, 2C
• C)1A, 2D
• D)1C, 2A
• E)1C, 2C
• F)1C, 2D
• G)1D, 2A
• H)1D, 2C

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Definitions:

Perceptual Constancy

The recognition that objects are constant and unchanging even though sensory input about them is changing.

Size Constancy

The perceptual stability of the size of objects in view, despite variations in the size of the image on the retina due to changes in viewing distance.

Apparent Movement

The perception that a stationary object is moving.

Gestalt Psychologists

Psychologists who focus on human perception and cognitive processes, emphasizing that the whole of anything is greater than its parts.