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(lim)(x->0)(s i n a x)/(sinb x)a ,b ,!=0...

`(lim)_(x->0)(s i n a x)/(sinb x)a ,b ,!=0`

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To solve the limit \(\lim_{x \to 0} \frac{\sin(Ax)}{\sin(Bx)}\) where \(A\) and \(B\) are non-zero constants, we can use the standard limit property of sine functions. Here’s a step-by-step solution: ### Step 1: Rewrite the limit We start with the limit: \[ \lim_{x \to 0} \frac{\sin(Ax)}{\sin(Bx)} \] ...
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