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Nilanjan Bhowmick AIR 3, CSIR NET (Earth Science)
Deepak singh 1
take any path that passes through points ( at which we want to check continuity ) . If its not coming equal or not exist then f(x,y) is not continuous at that point . Note : this method is only used to proove discontinuity .
doubt--->but there can be infinite paths that can pass through the point.
just take known path ( 2-3 path ) , if limit is coming equal at these path . Then it implies that it may be continuous at that point . So , then we tries to proove continuity at that point by epsilon - delta definition .