Solving limits with trig identities. It has been more than 6 years since my precalc class and I need help breaking down the identities and algebraic parts of these limits. My question is lim x -> 0 of sinpix / tansqrt3x. I have gotten as far as sinpix * cossqrt3x/sinsqrt3x . If anyone has the time to show me step by step that would be so awesome. I couldn't thank you enough!

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Solving limits with trig identities. It has been more than 6 years since my precalc class and I need help breaking down the identities and algebraic parts of these limits. My question is lim x -> 0 of sinpix / tansqrt3x. I have gotten as far as sinpix * cossqrt3x/sinsqrt3x . If anyone has the time to show me step by step that would be so awesome. I couldn't thank you enough!

Mathematics
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\[\lim _{x \rightarrow 0} \sin(\Pi*x)/\tan(\sqrt(3*x))=0\]
Thank you Ackhat, I appreciate your response. So, that wouldn't be considered indeterminate form?
i used Lophital's rule

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