Write the Limit Where Ci Is Any Point in The $i ^ { t h }$

question 118

Multiple Choice

Write the limit $\lim _ { | \Delta | \rightarrow 0 } \sum _ { i = 1 } ^ { n } \left( \frac { 6 } { c _ { i } ^ { 2 } } \right) \Delta x _ { i } , \text { as a definite integral on the interval } [ 8,10 ]$ where ci is any point in the $i ^ { t h }$ subinterval.

• A) \(\int _ { 10 } ^ { 8 } \frac { 6 } { x ^ { 2 } } d x\)
• B) \(\int _ { 0 } ^ { 8 } \frac { 6 } { x ^ { 2 } } d x\)
• C) \(\int _ { 0 } ^ { 2 } \frac { 6 } { x ^ { 2 } } d x\)
• D) \(\int _ { 0 } ^ { 10 } \frac { 6 } { x ^ { 2 } } d x\)
• E)\(\int _ { 8 } ^ { 10 } \frac { 6 } { x ^ { 2 } } d x\)

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Definitions:

Kingdom

One of the categories, or taxa, used to group species; the taxon above the phylum level.

Fungi

A kingdom of spore-producing organisms that feed on organic material, including molds, yeast, mushrooms, and toadstools, distinct from plants and animals.

Largest Group

Refers to the most numerous or most extensive category or grouping in a given context or classification.

Protozoans

Single-celled eukaryotic organisms that may exhibit animal-like behaviors, such as movement, and are often found in aquatic or moist terrestrial environments.