Video narration
When you substitute into a limit, do you expect the answer straight away? Sometimes the top and bottom both become zero: zero over zero. That can feel like a dead end. It isn't the limit. Think of simplifying an algebra fraction: factor the top and bottom, then look for a whole factor shared by both-not just matching terms. That shared factor is what you can cancel. Here's the turn: zero over zero is a signal to keep going, not your answer. Cancel only when the factor is genuinely common; near the point, it's nonzero, even if the original expression is undefined exactly there. Then substitute again into the simplified expression to find the limit, if the remaining denominator allows it. Not every zero over zero can be resolved this way. So, should you stop at zero over zero? No. Factor, cancel, substitute again-just like finishing a fraction.