You could do one sided limits here, which if you're not familiar with, I encourage you to review It's approaching infinity, but from the left it'sĪpproaching negative infinity. So, here you still could not say that the limit is approaching infinity because from the right In the negative direction, and when we approach zero from the right, we are unbounded in But what about this scenario? Can we use our new notation here? Well, when we approach zero from the left, it looks like we're unbounded Some finite value, while some people will use this notation of the limit going to infinity. Some people would call this unbounded, some people say it does not exist because it's not approaching This notation of saying, "Hey, this is going to infinity", which you will sometimes see used. Instead of just saying it's unbounded, we could say, "Hey, fromīoth the left and the right it looks like we're going To do in this video is introduce new notation. Limit is unbounded." But what we're going So in that video, we just said, "Hey, "one could say that this We approach X from the right, as we become less and less positive but we are still positive, the value of one over X squared becomes unbounded in the positive direction.
X squared is unbounded in the positive direction. And in this left scenario we saw as X becomes less and less negative, as it approaches zeroįrom the left hand side, the value of one over And we explored what's the limit as X approaches zero inĮither of those scenarios. This is Y is equal to one over X squared. Video, we explored the graphs of Y equals one over X
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