Question:medium
Let \( f(x) = \sin x - \cos x \). Then the value of
\[ \lim_{x \to \frac{\pi}{2}} \frac{f(x) - f\left(\frac{\pi}{2}\right)}{x - \frac{\pi}{2}} \]
is ______.
Let \( f(x) = \sin x - \cos x \). Then the value of
\[ \lim_{x \to \frac{\pi}{2}} \frac{f(x) - f\left(\frac{\pi}{2}\right)}{x - \frac{\pi}{2}} \]
is ______.
Show Hint
Limits of this form directly give derivative at the point.
Updated On: Apr 30, 2026
- \(0\)
- \( \frac{1}{2} \)
- \( \frac{1}{\sqrt{2}} \)
- \(1\)
- \( \sqrt{2} \)
Show Solution
The Correct Option is D
Solution and Explanation
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