- #1

- 28

- 0

## Homework Statement

Hello, I need help on the following questions, mainly to make sure i did them right.

for both, lim (x,y) -> (0,0)

1) [PLAIN]http://www4d.wolframalpha.com/Calculate/MSP/MSP3619hd2e84h398acc80000110c0eac25d415ha?MSPStoreType=image/gif&s=57&w=72&h=44 [Broken]

2) [PLAIN]http://www4d.wolframalpha.com/Calculate/MSP/MSP43819hd2e19gfb031c4000051d54bgf834ga83b?MSPStoreType=image/gif&s=47&w=80&h=40 [Broken]

## The Attempt at a Solution

1) so for this one I multiplied by the conjugate of the denominator.

So what i end up with is as follows

x(x-y)(sqrt x + sqrt y) / (x-y)

x-y cancels so I am left with

x(sqrt x + sqrt y)

so I get the limit as 0 when i plug in x and y.

2)

This one I am clueless about what to do. I keep getting an indeterminate form 0/0. I tried L'hopital's rule but it doesn't really help. Any ideas? Do i need to use some trigonometric identity here?

Last edited by a moderator: