Question

Help please? state the limit and if there is not limit say that limit doesn't exist.

Answer 1

1) lim x-> -1 f(x)
2) lim x-> 2- f(x)
3) lim x-> 2+ f(x)
4) lim x-> 2 f(x)
5) lim x-> -2 f(x)
6) lim x-> 3f(x)

Answer 2

@Outkast3r09 can u help please?

Answer 3

@UnkleRhaukus can u help?

Answer 4

\[\lim\limits_{ x\to -1} f(x)\]

is the height of the blue line above x=-1 on the x-axis

Answer 5

\[\lim\limits_{ x\to 2^-} f(x)\]

is the height of the blue line above the point just before 2 on the x axis

Answer 6

hmm ok

Answer 7

so for the first one it will be -2?

Answer 8

soo?

Answer 9

no. the blue line is crossing the axis at x=-1, so the height is zero here

Answer 10

ohh okay

Answer 11

so the limit will be zero?

Answer 12

yeah for the first one thats right

Answer 13

okay

Answer 14

lemme try the second one

Answer 15

so number 2 will be -1? right?

Answer 16

correct

Answer 17

ohh i think i'm starting to get this

Answer 18

hmm for number 3 will the open circle count?

Answer 19

or will it be undefined?

Answer 20

\[\lim\limits_{ x\to 2^+} f(x)\] is where x is a little bit to the right of 2 so is a tiny bit to the right of the open circle

Answer 21

if you were looking for the limit as \[x\to 2\] and both circles were open then it would be undefined

Answer 22

so it will be positive 2?

Answer 23

um check that again

Answer 24

ok

Answer 25

positive 1?

Answer 26

wait it will be -2

Answer 27

did i get it?

Answer 28

nope

Answer 29

okay i'm gonna try again

Answer 30

it will be -3

Answer 31

how could it be negative?

Answer 32

oh imeant positive 3

Answer 33

so is that correct?

Answer 34

thats better

Answer 35

ok so number 4 will be -1 ?

Answer 36

thats right, ( note that if the lower circle was open then it would be undefined)

Answer 37

okay number 5 will be -2?

Answer 38

nope

Answer 39

hmmm ohh ok so it will be undefined right?

Answer 40

im not sure how you are getting that/

Answer 41

let me look it again

Answer 42

it will be positive 2?

Answer 43

am i right?

Answer 44

it looks more like 1.5 to me

Answer 45

its close but it hasn't reached the line

Answer 46

ok

Answer 47

how about the last one? its tricky

Answer 48

what do you think

Answer 49

it will be it doesnt exist

Answer 50

right?

Answer 51

why would you say that

Answer 52

hmmm hold on

Answer 53

it will be 3?

Answer 54

did i get it?

Answer 55

a bit less

Answer 56

2?

Answer 57

soo?

Answer 58

are u there?

Answer 59

dosent look like 2 to me

Answer 60

look like about 2.5 to me

Answer 61

ok thanks