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Evaluate lim(xto pi//2) tan^(2)x[sqrt(2s...

Evaluate `lim_(xto pi//2) tan^(2)x[sqrt(2sin^(2)x+3sinx+4)-sqrt(sin^(2)x+6sinx+2)]

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To evaluate the limit \[ \lim_{x \to \frac{\pi}{2}} \tan^2 x \left( \sqrt{2 \sin^2 x + 3 \sin x + 4} - \sqrt{\sin^2 x + 6 \sin x + 2} \right), \] we will follow these steps: ...
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