I know when we encounter 0/0 as the result of taking a limit, we cannot conclude to the value of the limit. But what about 0/0 for a function? I am confused because in last year's final calculus exam, there's a question that reads:(adsbygoogle = window.adsbygoogle || []).push({});

Calculate the gradient vector of the function

[tex]f(x,y)=\frac{x^4+y^3}{x^2+y^2}[/tex]

at all point (including at (0,0)).

But for exemple,

[tex]\left[ \frac{\partial f}{\partial x} \right]_{(0,0)} = \left[\frac{4x^3}{x^2+y^2}-\frac{2x^5}{(x^2+y^2)^2}-\frac{2xy^3}{(x^2+y^2)^2}\right]_{(0,0)} = \frac{0}{0}[/tex]

**Physics Forums - The Fusion of Science and Community**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# 0/0 as the result of taking a limit

Loading...

Similar Threads for result taking limit | Date |
---|---|

A Getting a finite result from a non-converging integral | Yesterday at 6:32 PM |

B How can I show the sum results in this? | Mar 12, 2018 |

A How to get this result for this integral? | Mar 27, 2017 |

I How do I apply Chain Rule to get the desired result? | Jan 15, 2017 |

What is meant by "take the derivative of a function"? | Sep 28, 2015 |

**Physics Forums - The Fusion of Science and Community**