Why does sin7x/7x approach 1 as x approaches 0?

Coldie · Nov 3, 2004

You're asked to find lim x-->0 sin7x / 4x

The part of this example that I don't understand the most is how they get 1 out of sin7x/7x when x-->0.

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Sorry about the ridiculously small image. The dimension restrictions are ridiculous, and I didn't notice that the image didn't attach properly the first time.
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Hurkyl · Nov 3, 2004

Are you familiar with [itex]\lim_{x \rightarrow 0} (sin x) / x = 1[/itex]?

Coldie · Nov 3, 2004

No, I was not. I guess that clears that up, thanks:p

Why does sin7x/7x approach 1 as x approaches 0?

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Why does sin7x/7x approach 1 as x approaches 0?

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