Name: One-sided limits from tables | Limits and continuity | AP Calculus AB | Khan Academy
Uploaded: 2022-06-30T05:32:52.000Z
Duration: 6 min 20 s
Description: 表的單邊極限 |限制和連續性 | AP微積分AB |可汗學院Learn the English Usage: negative,approaching,closer,reasonable,limit,estimate,table,multiple choice,exist,approach,choice,sign,select,technically,defined,khan...

For these X values, it gives the corresponding F of X.

What is a reasonable estimate for the limit of F of X

and see if you can figure it out on your own.

Alright, now let's work through this together.

So the first thing that is really important to realize

and you see this little negative superscript here,

this does not mean approaching negative one,

and you're like oh, this must be a weird way

Well that's what that little negative tells us.

If we were approaching one from the right,

that would be a positive sign right over there.

We want the limit as X approaches one from the left,

we have some values of X approaching one from the left.

0.9, which is already pretty close to one,

then we get even closer to one from the left.

but they're getting closer and closer to one.

as X is getting closer and closer to one,

but they're asking us only from the left,

so we should only be looking at these values

In fact, we shouldn't even let the value of F of X

the limit is approaching a different value

than the value of the function at that point.

When we get even closer to one from the left,

So a reasonable estimate for the limit as X approaches one

that's why they're saying, what is a reasonable estimate.

so you have to pick the most reasonable one,

it would not be fair if they gave a 1.999 as a choice

hey, maybe this was approaching a whole number,

then two could be a reasonable estimate right over here.

it might be what it is actually approaching.

Here it does look like there's a reasonable estimate

for the limit as we approach this value from the left.

What is a reasonable estimate for the limit

as X approaches negative two from the left?

We wanna say, what happens we're approaching negative two,

and we're gonna approach once again from the left.

that are approaching negative two from the left,

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One-sided limits from tables | Limits and continuity | AP Calculus AB | Khan Academy

weird

absolutely

approach

figure