Evaluate the limit- limx- 0sin ax-bx-ax-sin bxa-b-a-b- 0

lim_x→ 0sin ax+bx/ax+sin bx =lim_x→ 0 ( sin axax )ax+bxax+bx ( sin bxbx ) =lim_x→ 0 ( sin axax )a+ba+b ( sin bxbx ) =a(1)+b/a+b(1)=1 ...

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Existence of Limit

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Question

Evaluate the limit: $lim x \to 0 \frac{sin a x + b x}{a x + sin b x} a, b, a + b \neq 0$

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