Express As a Definite Integral, Then Find the Limit

question 81

Essay

Express $\lim _ { n \rightarrow \infty } \left\{ \sum _ { i = 1 } ^ { n } \left[ \cos \left( \frac { \pi i } { n } \right) \right] \frac { \pi } { n } \right\}$ as a definite integral, then find the limit.

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Definitions:

Stroma

Region within a chloroplast that surrounds the grana; contains enzymes involved in the synthesis of carbohydrates during the Calvin cycle of photosynthesis.

Chloroplast

Membrane-bound organelle in algae and plants with chlorophyll-containing membranous thylakoids; where photosynthesis takes place.

Thylakoids

Membrane-bound compartments inside chloroplasts of plant cells, where light-dependent reactions of photosynthesis occur.

Chloroplast Membranes

Structures within chloroplasts that organize the internal environment and are crucial for photosynthesis.