what is lim (x,y)~(0,0) (x/y)

limited of x,y at 0,0 is nt defined

Alswell

But using L'Hopitals rule is x=1 is defined

Alswell

Could U explain better boss?

emmanuel

value of (x/y) as (x,y) tends to (0,0)
also whats the value of (x+y)/(x^2+y^2) as (x,y) tends to (0,0)

NIKI

can we apply l hospitals rule for function of two variables

NIKI

how do u factor the numerator?

Nonsense, you factor numbers

Antonio

You can factorize the numerator of an expression. What's the problem there? here's an example.
f(x)=((x^2)-(y^2))/2
Then numerator is x squared minus y squared. It's factorized as (x+y)(x-y).
so the overall function becomes :
((x+y)(x-y))/2

The

The problem is the question, is not a problem where it is, but what it is

Antonio

I think you should first know the basics man: PS

Vishal

Yes, what factorization is

Antonio

Antonio bro is x=2 a function?

The

Yes, and no.... Its a function if for every x, y=2.... If not is a single value constant

Antonio

you could define it as a constant function if you wanted where a function of "y" defines x f(y) = 2 no real use to doing that though

zach

Why y, if domain its usually defined as x, bro, so you creates confusion

Antonio

Its f(x) =y=2 for every x

Antonio

Yes but he said could you put x = 2 as a function you put y = 2 as a function

zach

F(y) in this case is not a function since for every value of y you have not a single point but many ones, so there is not f(y)

Antonio

x = 2 defined as a function of f(y) = 2 says for every y x will equal 2 this silly creates a vertical line and is equivalent to saying x = 2 just in a function notation as the user above asked. you put f(x) = 2 this means for every x y is 2 this creates a horizontal line and is not equivalent

zach

The said x=2 and that 2 is y

Antonio

that 2 is not y, y is a variable 2 is a constant

zach

So 2 is defined as f(x) =2

Antonio

No y its constant =2

Antonio

what variable does that function define

zach

the function f(x) =2 takes every input of x within it's domain and gives 2 if for instance f:x -> y then for every x, y =2 giving a horizontal line this is NOT equivalent to the expression x = 2

zach

Yes true, y=2 its a constant, so a line parallel to y axix as function of y

Antonio

And you are right, but os not a function of x, its a function of y

Antonio

As function of x is meaningless, is not a finction

Antonio

yeah you mean what I said in my first post, smh

zach

I mean (0xY) +x = 2 so y can be as you want, the result its 2 every time

Antonio

OK you can call this "function" on a set {2}, but its a single value function, a constant

Antonio

well as long as you got there eventually

zach

2x^3+6xy-4y^2)^2 solve this

femi

follow algebraic method. look under factoring numerator from Khan academy

moe