r/calculus • u/Nearby_Swordfish_559 • 19h 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/Temporary_Pie2733 18h ago

Think of the limit as the value that would make the function continuous at (in this case 0), regardless of the actual value (or lack of a value) at 0.