Q132
What should be the value of \[ \] such that the function defined below is continuous at \[ x = /2?\] \[ f ( x ) = \ array*20c x /2 - x& if x /2 \\ 1& if x = /2 array .\]
What should be the value of such that the function defined below is continuous at
{\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.
{\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.
A.
0
B.
C.
1
AnswerD.
Answer: Option C
Solution
Answer: Option C
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