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Trigonometry and Limits: limit of sin(x)/x as x goes to 0

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mes4.3 K2 years agoPeakD2 min read

In this video I show a geometric proof of this very useful limit of sin(x)/x as x goes to 0. I will use this in later videos to prove many trig derivatives and integrals.

Download video notes: https://1drv.ms/b/s!As32ynv0LoaIid1-qcHGAO9DsbNCCQ?e=nRB7Ph


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Limits and Trigonometry

https://files.peakd.com/file/peakd-hive/mes/23tHbg12CtK5C2ApErnX6HAgfZwjbFKmaUixkSc9gZLpqN3hQ3c46hqm2byhVNacng19F.jpg

A Simple Proof of the Following Limit

https://files.peakd.com/file/peakd-hive/mes/23u6YZEZbLHJ2Wd7jzsA1jtsJfeHXHCsMo4xSdTr8rLyv2CbFApNegoPiuGMNJthb34Ks.png

https://files.peakd.com/file/peakd-hive/mes/23tHbkj8AzaMhhQiLGDXH7EnjSjYogXHkyeQre5NApvhzZ5LEE8Gh2gqrvEeHFNWn8GDQ.png

https://files.peakd.com/file/peakd-hive/mes/23tSyz4YxKBBwNB4otvY8DDbRDex3HCEFwS3LPPpRQL1eeUi3q2PNo4Ev4Gdm6c6PE31i.png

https://files.peakd.com/file/peakd-hive/mes/Eo2BM1YUaSxatvtrCfWBXzW4Csnfi1hBvXS7AwPj8X5upnr9q5mQhPcBSLe7ciEbR2Q.png

https://files.peakd.com/file/peakd-hive/mes/23t8CfKPvfgJrfMyJoRLjoy2MCpo4d9aCUqLhu6AKgANZWmtHoBWRBeLe4g77PNES4Sx2.png

Thus we have:

https://files.peakd.com/file/peakd-hive/mes/23tHbr9ykrH43efNSNjJLQZEEyiobT2JWGuiNe4G9zmqDJaoX1NQWX4BetCr1hMTtqm1P.png

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