Mathematics 46 Online
OpenStudy (anonymous):

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

myininaya (myininaya):

the limit does not exist

OpenStudy (anonymous):

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

OpenStudy (anonymous):

explain?:)

OpenStudy (anonymous):

can it not b - $\infty$

OpenStudy (amistre64):

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

OpenStudy (amistre64):

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

myininaya (myininaya):

it approaches negative infinity

OpenStudy (anonymous):

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

myininaya (myininaya):

i didn't graph it

OpenStudy (amistre64):

we learn this stuff thru analytical geometry :)

OpenStudy (anonymous):

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

OpenStudy (amistre64):

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

OpenStudy (amistre64):

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

OpenStudy (amistre64):

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

OpenStudy (anonymous):

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

OpenStudy (anonymous):

its also goin 2 b $-\infty$

OpenStudy (amistre64):

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

OpenStudy (anonymous):

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

OpenStudy (amistre64):

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)

myininaya (myininaya):

(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

OpenStudy (amistre64):

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

OpenStudy (amistre64):

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

OpenStudy (anonymous):

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?

OpenStudy (amistre64):

ive been around :)

OpenStudy (anonymous):

wat do u do?

OpenStudy (amistre64):

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

OpenStudy (anonymous):

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

myininaya (myininaya):

i think the world is going to end

OpenStudy (anonymous):

lol..wen? y?how?

OpenStudy (amistre64):

my heritage is italian :) but im american

myininaya (myininaya):

lol im kidding amistre was talking about a future

OpenStudy (amistre64):

the law of entropy makes for a bleak outcome lol

OpenStudy (anonymous):

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

myininaya (myininaya):

u thought he was indian because he is a guru?

OpenStudy (amistre64):

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

OpenStudy (anonymous):

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

OpenStudy (anonymous):

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

myininaya (myininaya):

calculus is fun!

OpenStudy (amistre64):

good luck, my internet cuts off soon, library closes

myininaya (myininaya):

yes good luck

OpenStudy (anonymous):

thank u :)

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