lim sinx/x khi x tiến tới 0

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Lim of sin(x)/x as x goes vĩ đại zero

Learning this and trying vĩ đại remember it by understanding the proof that shows the answer is one. When I try vĩ đại apply the product rule I get confused. Product rule says lim as x=> 0 of sin(x)/x should equal limit sin(x) * limit (1/x). One of these factors goes vĩ đại zero and the other goes vĩ đại infinity, yet the answer is one. I have a hard time wrapping my head around this.