Question

finding limits

Answer 1

Is it 18? @Hero

Answer 2

yes.

Answer 3

is this one 0?

Answer 4

Looks right

Answer 5

One more. Would this one have none?

Answer 6

The best way to verify is by graphing the expression

Answer 7

When it comes to limits, you have to think about what the number is approaching rather than the evaluation of the expression at the point.

Answer 8

Would it be 1 then?

Answer 9

How did you get 1?

Answer 10

I graphed it and it approaches 1

Answer 11

Wait I graphed it wrong. But I'm still confused.

Answer 12

You graphed this:
https://www.desmos.com/calculator/rrbluk3z7x

Answer 13

What exactly are you confused about?

Answer 14

No limit exists?

Answer 15

The limit exists, but f(2) is undefined.

Answer 16

So it's where the graph crosses the X-axis is where the limit is?

Answer 17

There's a difference between limit and evaluation of a function at a point. Limit refers to what number a graph is APPROACHING

Answer 18

y-axis*

Answer 19

If the limit exists, which, in this case, it does, then the limit will be an actual number.

Answer 20

So would it be 2?

Answer 21

Let's do this...

As x approaches 2, y approaches what?

Answer 22

4

Answer 23

There we go

Answer 24

That's the limit

Answer 25

yay, thanks for helping