Determine a Region Whose Area Is Equal To $\lim _{n \rightarrow \infty} \sum_{i=1}^{n} \frac{\pi}{2 n} \tan \frac{i \pi}{2 n}$

question 23

Multiple Choice

Determine a region whose area is equal to $\lim _{n \rightarrow \infty} \sum_{i=1}^{n} \frac{\pi}{2 n} \tan \frac{i \pi}{2 n}$ .

• A) \(y=\tan x, 0 \leq x \leq \frac{\pi}{3}\)
• B) \(y=\tan x, 0 \leq x \leq \frac{\pi}{5}\)
• C) \(y=\tan x, 0 \leq x \leq \frac{\pi}{6}\)
• D) \(y=\tan x, 0 \leq x \leq \frac{\pi}{4}\)
• E) \(y=\tan x, 0 \leq x \leq \frac{\pi}{2}\)

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