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Define continuity of the function f(x) a...

Define continuity of the function `f(x)` at `x =a.` Find the values of `A and B` if the function `f(x)` given by : `f(x) ={((sin5x)/(sqrt(1+x)-1), "if " x lt0), (A+1, "if " x = 0), (B (log(1+7x))/(e^(2x)-1), "if " x gt 0):}` is continuous at `x=0.`

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