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Let  then
  • a)
    f (x , y) is continuous at origin.
  • b)
    f (x , y) is discontinuous at origin
  • c)
    fx exists at origin and equal to zero
  • d)
    fy exists at origin and equal to zero
Correct answer is option 'A,C,D'. Can you explain this answer?
Verified Answer
Letthena)f (x , y) is continuous at origin.b)f (x , y) is discontinuou...
Let as take given ∈> 0 and (x,y) ≠ (0,0)
⇒ fx and fy both exist at (0,0) and equal to 0.
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Most Upvoted Answer
Letthena)f (x , y) is continuous at origin.b)f (x , y) is discontinuou...
Let as take given ∈> 0 and (x,y) ≠ (0,0)
⇒ fx and fy both exist at (0,0) and equal to 0.
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Letthena)f (x , y) is continuous at origin.b)f (x , y) is discontinuous at originc)fxexists at origin and equal to zerod)fy exists at origin and equal to zeroCorrect answer is option 'A,C,D'. Can you explain this answer?
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