Question:
\( \limₓ → ∞ \frac1 - \tan \left( \fracx2 \right)1 + \tan \left( \fracx2 \right) = ?
\( \limₓ → ∞ \frac1 - \tan \left( \fracx2 \right)1 + \tan \left( \fracx2 \right) = ?
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Use trigonometric identities to simplify the expression and calculate the limit.
Updated On: Mar 25, 2026
- \( \frac{1}{8} \)
- 0
- \( \frac{1}{32} \)
- \( \infty \)
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The Correct Option is C
Solution and Explanation
Step 1: Apply the identity for tangent.
Using trigonometric identities, simplify the given expression for large values of \( x \). After simplification, we get the value \( \frac{1}{32} \).
Thus, the correct answer is (3).
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