I’m having trouble showing that Sin(x) is a continuous function. I’m try to show it’s continuous by showing: [itex] 0<|x - x_0| < d => |sin(x) - sin(x_0)|<\epsilon[/itex](adsbygoogle = window.adsbygoogle || []).push({});

Here is what I have done [itex] |sin(x)| - |sin(x_0)|<|sin(x) - sin(x_0)|<\epsilon [/itex] and |sin(x)|<|x| so -|x| < -|sin(x)| => [itex] |sin(x)|- |x| < |sin(x)| - |sin(x_0)|< \epsilon [/itex] but I can’t seem to go anywhere from there.

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# Continuity of Trig Functions

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