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Equation question: t=f(x,y)=arctan(x/y)

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v9260019

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an equation question

Hello all
If let t=f(x,y)=arctan(x/y)
does t exist when y=0 or limt[y->0] ????
thanks a lot
 

xaris106

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Re: an equation question

if i remember correct you must define x as a constant(not always)
edit*wrong*
then you approach y>0 from possitives and from negatives and if the limit is the same it exists.
 

alitavakol

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Re: an equation question

if x≠0 then its limit will be π/2. and if x=0 then this will be 0.
so lim f(x, y) for y->0 will have a discontinuty at x=0.
 

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