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[DTube] Limit of sin(x)/x as x approaches 0: Geometric Proof

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Published: 26 Jan 2019 › Updated: 26 Jan 2019[DTube] Limit of sin(x)/x as x approaches 0: Geometric Proof

[DTube] Limit of sin(x)/x as x approaches 0: Geometric Proof


In this video, we work through a geometric proof for the limit of sin(x)/x as x approaches 0.

You may have visually inspected and tabulated that sin(x)/x does indeed approach L = 1 when x = 0, although the function is not defined at this point.

However, we need a more robust proof. And this is where this simple geometric proof, using the squeeze theorem can help us determine the limit of sin(x)/x as x approaches 0 formally.

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