Question

@ganeshie8

Answer 1

@ganeshie8 please help, the other persson did not help

Answer 2

canyou explain it? i really dont know how to do it..

Answer 3

did you get what the question is asking you to find out ?

Answer 4

what are the integers between -2 and 5 ?

Answer 5

yes list them down

Answer 6

yes

Answer 7

-1, 0, 1, 2, 3, 4

right ?

Answer 8

look at the graph at x = -1

Answer 9

-2 wouldnt be one?

Answer 10

no because we are considering only the open interval (-2, 5)
-2 and 5 are excluded

Answer 11

can you tell the limit at x=-1 by looking at graph ?

Answer 12

it seems at x=-1,
both the left and right limits are approaching a y value of -1 eh ?

Answer 13

ohhhh

Answer 14

so the limit of the graph at x=-1 would be simply -1
which is a finite value

Answer 15

next, what about the limit at x = 0 ?

Answer 16

0

Answer 17

very good.
next, what about the limit at x = 1 ?

Answer 18

would this one be 1 or 2?

Answer 19

at x = 1 :

as u go from left, the y value would apprach -1
as u go from right, the y value would approach 2

since they are not same,
the limit does not exist at x = 1

Answer 20

is that clear ?

Answer 21

so far,
the limit exists and is finite only at x = -1 and x = 0
at x = 1 it does not exist.

Answer 22

yes

Answer 23

got it

Answer 24

next, what about the limit at x = 2 ?

Answer 25

does not exist?..

Answer 26

why ?

Answer 27

at x = 2
both the left and right limits seem to approach the same value 1.75 ?

Answer 28

so the limit exists and is finite

Answer 29

oh youre right

Answer 30

what about the limit at x=4 ?

Answer 31

0.25

Answer 32

yes! so it also exists and is finite

Answer 33

:D

Answer 34

looks we have missed x = 3

Answer 35

does the limit exist at x = 3 ?
and if it exists, is it finite ?

Answer 36

but that one doesnt stop anywhere?

Answer 37

exactly! the limit exists and is equal to "infinity"
so its not finite, ok

Answer 38

putting it all together, the limits exists and is finite at : x = -1, 0, 2, 4

Answer 39

thank you!!!! :)))))

Answer 40

yw :)