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If $f(x)= \left\{ \begin{array}{1 1} \frac{1- \sqrt 2 \sin x}{\pi-4x} & \quad if\;x \neq \frac{\pi}{4} \\ \alpha & \quad if\;x= \frac{\pi}{4} \end{array}. \right. $ is continuous at $\large\frac{\pi}{4}, $ then $\alpha$ is equal to :

\[\begin {array} {1 1} (a)\;4 & \quad (b)\;2 \\ (c)\;1 & \quad (d)\;1/4 \end {array}\]

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(d) 1/4
answered Nov 7, 2013 by pady_1

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