One common mistake students make about limits is thinking they can simply plug in a number.

For example, they often forget that limits can still exist even if the function isn’t defined at that specific point.

Another misunderstanding is about infinity. Many people think limits can only get close to a regular number.

But actually, limits can also head towards $+\infty$ (positive infinity) or $-\infty$ (negative infinity).

Sometimes, students confuse limits with continuity. A function can have a limit at a point, even if it isn’t continuous there.

Finally, some might think that limits are just about functions getting close to a number.

But it’s also important to understand how functions behave around that point.