Hey! how would u find the limit of lim x->1^+ of 2+x/1-x??

the limit does not exist

\[\lim_{x \rightarrow 1^{+}} 2+x/1-x\]

explain?:)

can it not b - \[\infty\]

if you can factor the (1-x) with something from the top; then you can determine a hole that would be a good value for the limit; but as is; it approaches a vertical asymptote

we can define it as +infinity; but how to define it is ackward

it approaches negative infinity

how did u guys know tht we had 2 graph it?

i didn't graph it

we learn this stuff thru analytical geometry :)

ohh..4 unanalyctical ppl lik me..wud it b poss 2 see tht it wud approach - infiniti by pluggin in points?

the numerical approach is to determine of there is a common factor top to bottom; if so, there is a way to control the function to a common point

without that factoring, the bottom has no way of being reeled in and just goes off into infinity

if the numbers close to the Limit are negative, then yes; its going to - inf

so for \[\lim_{x \rightarrow 0^{-}} (x ^{2}-1/x)\]

its also goin 2 b \[-\infty\]

x^2 -1 ------ ? x

no..x^2- (1/x)

since the x is on the bottom, and the numbers are getting smaller and smaller; the value of the fraction gets bigger and bigger, for example: 1 ---------- = 1,000,000 (1/1,000,000)

(x^3-1)/x->-inf as x->0^- all you have to do is a plug a number in close to 0 from left to determine if you infinity will be negative or positive

so that second part takes over and contiues to add to the function

well, subtract from it in this case :) but... 1,000,000,000,000 - 1,000,000 eventually the fraction is puny in its attempts to control the square and the square takes off into infinity

ohhh...yea i understood it! u explain thm wayy better thn my teacher!:) thank u soo much!..@amistre-u wer the one who helped me lik 3 days ago 2 right?

ive been around :)

wat do u do?

i go to college and wait for a better future at the moment

ohh..well good luck with tht thn..u indian?

i think the world is going to end

lol..wen? y?how?

my heritage is italian :) but im american

lol im kidding amistre was talking about a future

the law of entropy makes for a bleak outcome lol

ohh...thts cool..i liv in the states too

u thought he was indian because he is a guru?

well, if your ever in florida, yell out the window :)

haha noo..not cuz of tht..jus randomly asked..haha alrighty thn

well..ive got my math final tom..so im ganna b postin tons more up:)

calculus is fun!

good luck, my internet cuts off soon, library closes

yes good luck

thank u :)

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