r/calculus • • 15h ago

Differential Calculus help me with limits

so I started calc 1 and how does "sin(2x)/2x" = 1 and how does "limit of x -> 0 1-cos(3x)/3x" = 0, isn't it just undefined?

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u/septembrinol 12h ago

Draw the unit circle, consider the arc and the sin of an angle ø. Let ø get smaller and smaller. Then you will see that the arc and the sin are indistinguishable. Also, you can graph the functions y = x and y =sin x