What is continuity?

Continuity is when something flows smoothly without sudden jumps or breaks.

Imagine you're walking on a path that’s completely flat, no hills, no steps, just one smooth surface from start to finish. That’s continuity in action: the path stays the same as you move along it. Now imagine if you suddenly stepped onto a big rock, that would feel like a jump, not a smooth walk.

Think of a river flowing gently from one place to another, no sudden stops or starts, just constant movement. That’s continuity too! The water moves smoothly from one point to the next, just like you walking on that flat path.

Or think of a slide at a playground: if it goes down all the way without any breaks or steps, that’s smooth and continuous, no surprises when you go sliding down!

Now imagine walking along a path, but then suddenly there’s a big gap in front of you. That’s like discontinuity, it feels broken or interrupted, just like stepping from the path to nothing at all!