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



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onegirl
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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)

onegirl
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@Outkast3r09 can u help please?

onegirl
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@UnkleRhaukus can u help?

UnkleRhaukus
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\[\lim\limits_{ x\to 1} f(x)\]
is the height of the blue line above x=1 on the xaxis

UnkleRhaukus
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\[\lim\limits_{ x\to 2^} f(x)\]
is the height of the blue line above the point just before 2 on the x axis

onegirl
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hmm ok

onegirl
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so for the first one it will be 2?

onegirl
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soo?

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

onegirl
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ohh okay

onegirl
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so the limit will be zero?

UnkleRhaukus
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yeah for the first one thats right

onegirl
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okay

onegirl
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lemme try the second one

onegirl
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so number 2 will be 1? right?

UnkleRhaukus
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correct

onegirl
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ohh i think i'm starting to get this

onegirl
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hmm for number 3 will the open circle count?

onegirl
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or will it be undefined?

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

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

onegirl
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so it will be positive 2?

UnkleRhaukus
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um check that again

onegirl
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ok

onegirl
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positive 1?

onegirl
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wait it will be 2

onegirl
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did i get it?

UnkleRhaukus
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nope

onegirl
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okay i'm gonna try again

onegirl
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it will be 3

UnkleRhaukus
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1
how could it be negative?

onegirl
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oh imeant positive 3

onegirl
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so is that correct?

UnkleRhaukus
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thats better

onegirl
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ok so number 4 will be 1 ?

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

onegirl
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okay number 5 will be 2?

UnkleRhaukus
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nope

onegirl
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hmmm ohh ok so it will be undefined right?

UnkleRhaukus
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im not sure how you are getting that/

onegirl
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let me look it again

onegirl
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it will be positive 2?

onegirl
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am i right?

UnkleRhaukus
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it looks more like 1.5 to me

onegirl
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its close but it hasn't reached the line

onegirl
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ok

onegirl
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how about the last one? its tricky

UnkleRhaukus
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what do you think

onegirl
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it will be it doesnt exist

onegirl
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right?

UnkleRhaukus
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why would you say that

onegirl
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hmmm hold on

onegirl
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it will be 3?

onegirl
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did i get it?

UnkleRhaukus
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a bit less

onegirl
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2?

onegirl
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soo?

onegirl
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are u there?

UnkleRhaukus
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dosent look like 2 to me

UnkleRhaukus
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look like about 2.5 to me

onegirl
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ok thanks