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NDA Math Limit, Continuity and Differentiability

For the next two(2) items that follow :

Consider the function

f(x)=\begin{cases} -2\sin x, & \text{if } x \le -\pi/2 \\ A\sin x+B, & \text{if } -\pi/2 < x < \pi/2 \\ \cos x, & \text{if } x \ge \pi/2 \end{cases}

Which is continuous everywhere

[NDA II 2015]

Question : 79 of 105

Marks: +1, -0

The value of B is

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