Question

Find limit as x approaches three from the left of f of x..

Answer 1

The answers are:
-1
7
-3
doesn't exist

I think it's -1. Is that right?

Answer 2

@SolomonZelman PLEASE!

Answer 3

@iGreen @amistre64 @cwrw238 @ganeshie8 Any help?

Answer 4

@Michele_Laino

Answer 5

as before I would say lim=7

Answer 6

explanation: our function, with the value 7 at x=3, is continue,. Now concept of limitwas introduced in order to assign a specific value to a function, in order to make that function continue.
So I would write this:
\[\lim _{x \rightarrow 3}f(x)=7\]

Answer 7

that's my answer

Answer 8

the limit of f(x) does not necessarily equal the value of f(x) at x=a

Answer 9

as we are getting closer and closer to x=3 from the left, we are getting closer and closer to y=-1

Answer 10

so the limit is -1 yes

Answer 11

if the limit and the value are the same, then the function is defined as continuous.

Answer 12

as we can see, the limit and the value are not equal so the function is not continuous at x=3

Answer 13

@amistre64 please, our function with the value 7 at x=3 is continuous?

Answer 14

Thank you @amistre64 Could you help me with another one that is similar? I'll open a new question if you want.

Answer 15

assuming the function is a line on the left side of x=3 we have the piece:

f(x) = -x/3 , for x < 3

as x approaches 3 from the left, the limit of the function approaches -3/3

Answer 16

it is not the answer to my question

Answer 17

sorry, my question is more precise! @amistre64

Answer 18

either my connection is slow, or the site is haveing a bad day. but yes, i could try to help you on another one.

Answer 19

Michele, im not sure what your question is at the moment .... due to the lagging nature of my terminal (or the site).

Answer 20

I agree with @amistre64 :)
the limit of f from the lest is heading towards -1

Answer 21

i can't see the question either lol

Answer 22

I posted a new question. @amistre64 so you can take a look at that one.