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Suppose f(x)={:{(a+bx,x lt 1) ,(4,x=1), ...

Suppose `f(x)={:{(a+bx,x lt 1) ,(4,x=1), (b-ax,x gt 1):}` and if `lim_(x to 1) f(x)=f(1).` What are possible values of a and b?

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The correct Answer is:
a=0 b=4
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