Express the Limit as a Definite Integral Where $\mathrm { P }$

question 101

Multiple Choice

Express the limit as a definite integral.

- $\lim _{\mathrm||{P} \| \rightarrow 0} \sum_{\mathrm{k}=1}^{\mathrm{n}}\left(\cos \frac{\mathrm{c}_{\mathrm{k}}}{3}\right) \Delta \mathrm{x}_{\mathrm{k}}$ where $\mathrm { P }$ is a partition of $[ 0,4 \pi ]$

• A) \(\int _ { 0 } ^ { 4 \pi } \left( - \frac { 1 } { 3 } \sin \frac { x } { 3 } \right) d x\)
• B) \(\int _ { 1 } ^ { n } \cos x d x\)
• C) \(\int _ { 0 } ^ { 4 \pi } \cos \frac { x } { 3 } d x\)
• D) \(\int _ { 4 \pi } ^ { 0 } \cos \frac { x } { 3 } d x\)

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Expensive Bidder

A term that does not correspond to a specific widely recognized concept in business or economics, thus NO.