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aroberts47
 3 years ago
PLEASE I need help with twosided limits
aroberts47
 3 years ago
PLEASE I need help with twosided limits

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.Sam.
 3 years ago
Best ResponseYou've already chosen the best response.0If you want to know what's twosided limits is, A two sided limit is just the regular limit you see denoted by the lim as x approaches some value of a function. It means that if you approached that value from both sides of the graph you would arrive at the same place. A one sided limit means if you approached the graph from one particular side (from the left or from the right) you would get different values. If the limit from the left does not equal the limit from the right side of the graph, the overall limit does not exist. For example, a function such as y = x, for x > 0 cannot have a negative xvalue. So the limit of this function from the left would not exist because the graph doesn't exist there, but the limit from the right would be 0.

aroberts47
 3 years ago
Best ResponseYou've already chosen the best response.0hold on lemme write it out

aroberts47
 3 years ago
Best ResponseYou've already chosen the best response.0dw:1329978579461:dw

ggrree
 3 years ago
Best ResponseYou've already chosen the best response.2factor the top and the bottom to get \[x(x+3) \over (x+3)(x3)\] cancelling gives you: \[x \over x3\] now you can simply plug in 3.

cuddlepony
 3 years ago
Best ResponseYou've already chosen the best response.1Ugh my brain sucks right now good job ggree

cuddlepony
 3 years ago
Best ResponseYou've already chosen the best response.1if you plug in lim 3^(+) you will get the same answer which means the limit exists

aroberts47
 3 years ago
Best ResponseYou've already chosen the best response.0thanks.....so what if there was an indeterminate like 40/0 or something, how will I go about solving that?

cuddlepony
 3 years ago
Best ResponseYou've already chosen the best response.14/0^(+)= + infinity 4/0^() =  infinity If you get 0/0 you did something wrong unless the prof teaches you L'hospitols rule

cuddlepony
 3 years ago
Best ResponseYou've already chosen the best response.1remember you are not using 0 but something infinitly close to zero

cuddlepony
 3 years ago
Best ResponseYou've already chosen the best response.1thus 4 or any real number would go into it infinity number of times

cuddlepony
 3 years ago
Best ResponseYou've already chosen the best response.1does that answer your question?

cuddlepony
 3 years ago
Best ResponseYou've already chosen the best response.1if you had 1/0^() = + infinity make sure to note that because a / = +

aroberts47
 3 years ago
Best ResponseYou've already chosen the best response.0yea it kinda does....thanks

cuddlepony
 3 years ago
Best ResponseYou've already chosen the best response.1are you still confused with something?

cuddlepony
 3 years ago
Best ResponseYou've already chosen the best response.1if you take the limit from the 0+ of 1/x you get +infinity and if you take the limit from 0 you get infinity I think I made a mistake with the graph, but yeah the out put as you approach from the right is always increasing and the output from the left is always decreasing

aroberts47
 3 years ago
Best ResponseYou've already chosen the best response.0can I give you another problem to solve?

cuddlepony
 3 years ago
Best ResponseYou've already chosen the best response.1dw:1329979876435:dw

cuddlepony
 3 years ago
Best ResponseYou've already chosen the best response.1but does that explain it but yeah post the question quick need to actually do my own school work lol

aroberts47
 3 years ago
Best ResponseYou've already chosen the best response.0dw:1329980059353:dw

cuddlepony
 3 years ago
Best ResponseYou've already chosen the best response.1for these type of questions you multiply by the conjugate so multiply the top and bottom by ((x)^(1/2) + 2)

cuddlepony
 3 years ago
Best ResponseYou've already chosen the best response.1no problem you should be pretty set for limits now if you understand limits going to infinity

aroberts47
 3 years ago
Best ResponseYou've already chosen the best response.0i understand limits going to infinity but i need a resource for some twosided limit problems. it's kind of confusing/

cuddlepony
 3 years ago
Best ResponseYou've already chosen the best response.1did my 1/x example not help? 1/0 = something like 1/0.0000001 where as 1/0+ = something like 1/+0.000001 Only these numbers are infinitely small so we end up with lim 1/x = infinity x> 0+ lim 1/x = infinity x > 0 Look at the graph of 1/x dw:1329981425836:dw Notice how the output is forever decreasing from the left as you approach zero whereas the output is forever increasing from the right as you approach zero

cuddlepony
 3 years ago
Best ResponseYou've already chosen the best response.1thus the limit does not exist

cuddlepony
 3 years ago
Best ResponseYou've already chosen the best response.1if you took the limit of 1/x you would get the opposite if you took limits at both side so 0+ = infinity 0 = +infinity

cuddlepony
 3 years ago
Best ResponseYou've already chosen the best response.1as the graph looks like dw:1329981639188:dw

cuddlepony
 3 years ago
Best ResponseYou've already chosen the best response.1if you took the limit of 0+ and 0 of x you would end up with 0 and 0 which means that the limit exists

aroberts47
 3 years ago
Best ResponseYou've already chosen the best response.0oh it makes sense to me now

cuddlepony
 3 years ago
Best ResponseYou've already chosen the best response.1ok good I was getting tired of explaing it although I should have did it right the first time
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