Name: Strategy in finding limits | Limits and continuity | AP Calculus AB | Khan Academy
Uploaded: 2022-07-04T08:02:58.000Z
Duration: 12 min 30 s
Description: 尋找極限的策略|限制和連續性 | AP微積分AB |可汗學院Learn the English Usage: limit,square root,evaluate,negative,expression,vertical,root,equal,square,sine,factoring,dealing,substitute,squared,rational,feel...

- [Instructor] Multiple videos and exercises

But sometimes, it's helpful to think about strategies

And that's what we're going to cover in this video.

and I'm essentially going to work through that flowchart.

It looks a little bit complicated at first,

just try to substitute what happens when x equals a.

But then there's this little caveat here.

And the reason why is that the limit is a different thing

In fact, that's the definition of a continuous function

as you approach this point right over here,

then this is a good thing to keep in mind.

pretty plain vanilla functions like an x squared

or if you're dealing with rational expressions like this

and if you're able to just evaluate the function

If you're dealing with some type of a function

Or if you know visually around that point,

you've got to be a little bit more careful.

If you're dealing with plain vanilla functions

But I always think about the other scenarios.

you are probably dealing with a vertical asymptote.

And what do we mean by vertical asymptote?

Well, look at this example right over here.

if you just try to evaluate this expression

I'm falling into this vertical asymptote case.

if you wanted to just understand what was going on there

or even verify that it's a vertical asymptote,

I probably have a vertical asymptote here

Subtitles ListPlay Video

Strategy in finding limits | Limits and continuity | AP Calculus AB | Khan Academy

entire

essentially

approach

bunch