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Determine a Region Whose Area Is Equal To lim⁡n→∞∑i=1nπ2ntan⁡iπ2n\lim _{n \rightarrow \infty} \sum_{i=1}^{n} \frac{\pi}{2 n} \tan \frac{i \pi}{2 n}

Question 23

Multiple Choice

Determine a region whose area is equal to lim⁡n→∞∑i=1nπ2ntan⁡iπ2n\lim _{n \rightarrow \infty} \sum_{i=1}^{n} \frac{\pi}{2 n} \tan \frac{i \pi}{2 n} .


A) y=tan⁡x,0≤x≤π3y=\tan x, 0 \leq x \leq \frac{\pi}{3}
B) y=tan⁡x,0≤x≤π5y=\tan x, 0 \leq x \leq \frac{\pi}{5}
C) y=tan⁡x,0≤x≤π6y=\tan x, 0 \leq x \leq \frac{\pi}{6}
D) y=tan⁡x,0≤x≤π4y=\tan x, 0 \leq x \leq \frac{\pi}{4}
E) y=tan⁡x,0≤x≤π2y=\tan x, 0 \leq x \leq \frac{\pi}{2}

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