Which of the Following Series Converges?
1) $\sum _ { n = 1 } ^ { \infty } \frac { 1 } { n ^ { 2 } + \sqrt { n } }$

question 317

Multiple Choice

Which of the following series converges?
1) $\sum _ { n = 1 } ^ { \infty } \frac { 1 } { n ^ { 2 } + \sqrt { n } }$
2) $\sum _ { n = 1 } ^ { \infty } \frac { \sqrt { n } } { n ^ { 2 } + \ln n }$
3) $\sum _ { n = 1 } ^ { \infty } \frac { n } { \sqrt { n ^ { 3 } + 2 n ^ { 2 } } }$

• A)None
• B)1
• C)2
• D)3
• E)1, 2
• F)1, 3
• G)2, 3
• H)1, 2, 3

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Definitions:

Variable Inputs

Variable inputs in production are those inputs that change in quantity with the level of output, such as raw materials and labor.

Inputs

The resources such as labor, materials, and capital that are used in the production process to create goods and services.

AFC

Acronym that stands for Average Fixed Cost, the fixed costs of production divided by the quantity of output produced.

ATC

Average Total Cost, which is the total cost of production divided by the number of goods produced.