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Time management is very much important in IIT JAM. The eduncle test series for IIT JAM Mathematical Statistics helped me a lot in this portion. I am very thankful to the test series I bought from eduncle.
Nilanjan Bhowmick AIR 3, CSIR NET (Earth Science)
- IIT JAM
- Mathematics (MA)
Pls once show steps...for g(x)
pls once show steps.... . . .. . . . . .. . . . . . . . .. . . .
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Deepak singh 1 Best Answer
see attachment
for g(x) , option c ,d are correct . for f(x) , option a is correct
if any doubt then ask ..
thanks a lot sir
sir in this question when we checked that limit exist everywhere then is it necessary to check lim. (x,y) tends to 0
sir pls tell
yes ,
sir but why.?
when it is continuous everywhere it must be continuous at (0,0)
when a function is defined on branches then we check continuity at each end point also .
here function is divided into two branch by(0,0)
so , we check at (0,0)
and at other point except (0,0) functions are continuous
in this above comment, I have checked continuity of g(x,y) at (0,0) and non (0,0)
after that I can say g(x,y) is continuous everywhere ..
your statement - " when it is continuous everywhere it must be continuous at (0,0) " is correct
any doubt ??
no sir..i got it thanks a lot sir