Question

Find the limit of ((squareroot of x) - (square root of y-1))/(x-y-1) as (x,y) approaches (4,3) where x cannot equal y-1

Answer 1

@juanjohnguy i don't knw much here but i think the question means find the limit when x tends to 4 while y tends to 3

Answer 2

does that make sense?

Answer 3

Yeah it does say that, however if i directly put 4 as x and 3 as y into the equation then the problem becomes undefined

Answer 4

exactly, let that not confuse u it just means u have to use L'hospital's rule. do u know it?

Answer 5

i know how to do it for a one variable function but not multi variable

Answer 6

since x and y are both variables u'll differentiate just as u do for one variable but u differentiate both

Answer 7

Oh you mean do partial differentiation with respect to x and then with respect to y? or are you talking about something else?

Answer 8

exaclty partial differentiation
what are u getting using that?

Answer 9

let me do it really quickly

Answer 10

well with respect to x i got....