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Home » Black Batman Unleashed: The Ultimate Dark Legend You Won’t Believe Exists! - Upplift

Black Batman Unleashed: The Ultimate Dark Legend You Won’t Believe Exists! - Upplift

📅 February 28, 2026 👤 scraface

Feb 28, 2026

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📌 At \(v = 1.1\), \(g = 4(1.1)/(0.1)^2 = 4.4 / 0.01 = 440\)

📌 At \(v = 2\), \(g = 8 / (1)^2 = 8\)

📌 Wait — this suggests decreasing, but 440 > 8, so yes, decreases.

📌 But we seek the maximum value. Since \(g(v)\) decreases from near infinity (as \(v \to 1^+\)) to 8 at \(v = 2\), but \(v = 1\) is not included. However, as \(x \to 0^+\) or \(\frac{\pi}{2}^-\), one of \(\sin x\) or \(\cos x \to 0\), so \(\sec x\) or \(\csc x \to \infty\), so \(f(x) \to \infty\).

📌 Thus, \((\sec x + \csc x)^2\) is unbounded on \(0 < x < \frac{\pi}{2}\), and has no maximum.

📌 But wait — is that correct?

📌 Let \(x \to 0^+\), \(\sec x \to 1\), \(\csc x \to \infty\), so sum \(\to \infty\). Similarly near \(\frac{\pi}{2}^-\). So the expression goes to infinity.

📌 Hence, there is **no maximum value**; it spans \((8, \infty)\).

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