Question: For the piecewise function f(x) =3sinx2b x/2 3b44x x > /2 find the value(s) of b such that f(x) is continuous for all values of

For the piecewise function f(x) =3sinx2b x/2

3b44x x > /2

find the value(s) of b such that f(x) is continuous for all values of x. For any other value of b, f(x) is discontinuous at x = /2. What type of discontinuity is this? Is the function differentiable at x = /2? Why or why not?

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