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What should be the value of lambda such that the function...

This question belongs to Engineering Maths Calculus
Calculus
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What should be the value of \[\lambda \] such that the function defined below is continuous at \[{\text{x}} = \frac{\pi }{2}?\]
\[{\text{f}}\left( {\text{x}} \right) = \left\{ {\begin{array}{*{20}{c}} {\frac{{\lambda \cos {\text{x}}}}{{\frac{\pi }{2} - {\text{x}}}}}&{{\text{if x}} \ne \frac{\pi }{2}} \\ 1&{{\text{if x}} = \frac{\pi }{2}} \end{array}} \right.\]

Answer & Solution
Correct Answer: Option C
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