#continuities
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heheheha missing a day in calc = death
but never fear i am here!
which parts you need hep with
i think b
i dont remember A that well tho so idk if thats right
augh
i need to get my discord straight it’s acting funny
b is just finding where x^2+7x+10=0 because that makes the function n/0 which makes it undefined
so factor and solve it
oh alr
yea
@green falcon how do i do e
The current time for exiled_hype is 09:49 PM (EDT) on Sun, 15/09/2024.
@hybrid cedar ik i said gn but i just got an idea
try making a piecewise function with f(x)
now gn
is help still required?
@hybrid cedar wanna close the post?
what? but he already has that from domain
so critical points here will be -5 and -2
c) part is calculating the limit of a function when x goes to positve infinity and then do the same when x goes to negative infinity.
d) part is taking (left and right) limit of a function when x -> critical point (in this case, those are -5 and -2) and here you should get infinities. If you get a finite number asymptote doesn't exist. But I might be wrong on my last take
i think it’s also noteworthy that the answer to a) is incorrect
I didnt check I just assumed it is correct
mb
technically, critical points wouldnt change, he would just expand domain in the middle
yes, i was referring to the missing (-5, -2)
yeah
for part e you would need to know what a piecewise function is. In other words, g(x) will contain f(x) for it's domain (so entire R excluding -5 and -2) and then you can make some new variable a that will be a value for x=-2. After that solve the limit of f(x) at x->-2 and that what you get will be the value of variable a.
I will give you a hint for this one: You will get indeterminate form for the limit so you will have to use something like lhopital
part e) will use the answer to part b), which does not require l’hopital’s
it would suffice to factorize numerator and denominator of the fraction given and cancel out the factor of (x+2)
wouldnt you get 0/0 either way?
.
yes I just noticed
cool way to do it as well
$\lim_{x \to -2}\frac{x^2+5x+6}{x^2+7x+10}$ will give an indeterminate result, as will $\lim_{x \to -2} \frac{(x+2)(x+3)}{(x+2)(x+5)}$, but $\lim_{x \to -2} \frac{x+3}{x+5}$ is defined
Micabo
agreed
that was the point of the lead in lol
anyway looks like op isn't responding
i dont have perms to close the post
give it time
"it" ?!?!
lmfao
perhaps the post
my bad i fell asleep and forgot
+close