Question

Can you help me solve this question?

Answer 1

Hi

Answer 2

do you understand what the limit notation is?

Answer 3

it means find the limit of this piecewise function as it approaches 0

Answer 4

as x approaches... and so on

Answer 5

which one of the functions are approaching 0?

Answer 6

10x+7

Answer 7

I'm not sure I understand.

Answer 8

We have a piecewise function ... so we graph the equation
7-x^2 when x <0
7 when x = 0
10x+7 x > 0

then we have to find the limit
as x approaches 0 (but we need to look at as x approaches 0 to the left and as x approaches 0 to the right). the limit is in the y-axis and it must be the same value otherwise no limit exists.

Answer 9

So 7

Answer 10

thanks UsukiDoll

Answer 11

nope

Answer 12

what is the function approaching as it gets closer and closer to 0 from the left and right?

Answer 13

Than it doesn't exist?

Answer 14

does anyone know how to graph piecewise functions in desmos?

Answer 15

I thought it approached 7

Answer 16

look at the y values of the function as the x values approaches 0

Answer 17

I think you are right @xamr

Answer 18

You do?

Answer 19

yep...

Answer 20

Alright, thanks then.

Answer 21

hang on b4 u medal I want to confirm

Answer 22

sure thing, chief

Answer 23

this is a very zoomed version of the three graphs on desmos.. though one seems to overlap and not show up

Answer 24

then you are correct @xamr

Answer 25

yup when I did the three graphs as x approaches 0 to the left I got 7
As x approaches 0 to the right I got 7
since the values are the same the limit as x approaches 0 is 7