(10 points) Let k>0,m>0 be constants and let
f(x,y)=(x^(n-1)y^(2k))/((2sinx)^(2m)+y^(2k))
where n is a real number.
(a) For what range of values n does \lim_((x,y)->(0,0))f(x,y) not exist? Justify this using
techniques learned in class.
(b) For what range of values n does \lim_((x,y)->(0,0))f(x,y) exist? What i(s)/(a)re the limi(t)/(s)?
Justify this using techniques learned in class.
