Limit of sin x over x as x approaches 0

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Thanks this was a lot better than other videos because you explained it by using problems. Not a bunch of sin theta, cos theta, and tan theta conceptual stuff to explain. Because the question I needed help on was sin2x/x… I knew it was 2 to begin with, but now I understand more as to why

barretthnatt
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I have a question where I have to find out the limit of tan x/x as x tends to 0 without using l'hôpital's rule. How would you prove limit x ->0 for sin x/x in this question?

amaandookhit
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How do you know that the limit as x approaches 0 of cos^2(4x) = 1 ?

weakgd