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(lim)(x->0)(sina x+b x)/(a x+sinb x)a ,b...

`(lim)_(x->0)(sina x+b x)/(a x+sinb x)a ,b ,a+b!=0`

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To solve the limit \(\lim_{x \to 0} \frac{\sin(ax) + bx}{ax + \sin(bx)}\), we will follow these steps: ### Step 1: Rewrite the limit We start by rewriting the limit expression: \[ \lim_{x \to 0} \frac{\sin(ax) + bx}{ax + \sin(bx)} \] ...
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