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If  then

  • a)
    f does not exist at (0, 0)

  • b)
    f is continuous at (0, 0)

  • c)
    f is not continuous at (0, 0)

  • d)
    none of these

Correct answer is option 'B'. Can you explain this answer?
Verified Answer
If thena)f does not exist at (0, 0)b)f is continuous at (0, 0)c)f is n...
Limit along x → 0 and y → 0:

Limit along y → 0 and x → 0

Limit along the y = mx, then

Since the limit along any path is the same, the limit exists.
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Most Upvoted Answer
If thena)f does not exist at (0, 0)b)f is continuous at (0, 0)c)f is n...
Limit along x → 0 and y → 0:



Limit along y → 0 and x → 0



Limit along the y = mx, then



Since the limit along any path is the same, the limit exists.
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Question Description
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