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Mathematics 21 Online
OpenStudy (anonymous):

anyone can teach me about limt please ?

OpenStudy (anonymous):

limits calculator

MsBrains (ms-brains):

I think maybe @Directrix or @FortyTheRapper can. I'm sorry I can't.

OpenStudy (thephysicsman):

what is the limit? I could try to help

OpenStudy (anonymous):

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OpenStudy (thephysicsman):

This is your limit right? \[\lim_{x \rightarrow 3} \frac{ x-9 }{ x-3 }\]

OpenStudy (anonymous):

according my knowledge there 5 trick to slove limits beacuse some limit give you an 0 and that time it isnt full answer

OpenStudy (anonymous):

but i dont know to doing it

OpenStudy (thephysicsman):

sorry just checked that's wrong... have another idea

OpenStudy (anonymous):

well when limits = 0 its wrong , we need to use other trick

OpenStudy (anonymous):

i can answer , but when its = 0 what i should do to fix it

OpenStudy (thephysicsman):

I guess we can express it like this as a product of two limits instead of 1 \[\lim_{x \rightarrow 3}(x-9) * \lim_{x \rightarrow 3} \frac{ 1 }{ (x-3) }\]

OpenStudy (thephysicsman):

let's choose a number that's close to 3

OpenStudy (thephysicsman):

say \[1/(2.999-3) = ~ -1.0*10^{3}\]

OpenStudy (thephysicsman):

if you notice as you get closer to 3. the numbers get extremely large and negative

OpenStudy (thephysicsman):

I guess we can express it like this as a product of two limits instead of 1 \[\lim_{x \rightarrow 3}(x-9) * \lim_{x \rightarrow 3} \frac{ 1 }{ (x-3) }\] = -infinity

OpenStudy (anonymous):

what we did to get close to 3 , are we just mines number 3 , or plus.. i didnt understand what we did

OpenStudy (thephysicsman):

but that's as the limit approaches from the right. the full limit doesn't exist

OpenStudy (thephysicsman):

I guess we can express it like this as a product of two limits instead of 1 \[\lim_{x \rightarrow 3^+}(x-9) * \lim_{x \rightarrow^+ 3} \frac{ 1 }{ (x-3) }\] = -infinity so I chose a number close to three from the right

OpenStudy (thephysicsman):

@robtobey

OpenStudy (anonymous):

so we choose number 4?

OpenStudy (marcelie):

whats the equation ?

hartnn (hartnn):

are you sure the question does not have \(x^2-9\) in the numerator?

OpenStudy (marcelie):

theres an easier way to solve this.. o.o

OpenStudy (anonymous):

i want to know the tricks how to slove limits in general not this only

OpenStudy (marcelie):

well if you plug in the number and the top is for example. 0/0 then theres sumthun wrong then ull have to split the equation one+ and - sumtimes gives u dne but it depends

OpenStudy (anonymous):

depends on what?

OpenStudy (mathmale):

First: are y ou certain that the original problem doesn't involve (x^2-9) / (x- 3) ? Secondly, your question is much too broad. There are numerous "tricks" for finding limits in different situations; not every "trick" applies to every problem. so, find and post problems that are at just about the level of difficulty that you are comfortable with, and practice those problems. Then move on to harder ones.

OpenStudy (marcelie):

well if ur answer is 0/0 then ur left with options 1. conjugate 2. u can graph it on ur calculator.

OpenStudy (anonymous):

The limit \[ \lim_{x\to 3}\frac{x-9}{x-3} \]doesn't exist because it approaches different infinities from both sides.

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