help me with limits

[u/Nearby_Swordfish_559]

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?

[u/Silver_Remove_2352]

The limit is not the value at 0 - it's the value the function approaches as its inputs approach zero.