Hi,(adsbygoogle = window.adsbygoogle || []).push({});

Can anyone here help me do the following question? I tried isolating f(x) and f(y), but it doesn't really seem to go anywhere.

Q: Suppose f is a functionb which satisfies

f(x+y) = f(x) + f(y) +xy - x^3y + xy^3 - y^4 for all x, y, are elements of real numbers. Suppose, furthermore, that

lim f(x) / x = 1

x -> 0

a) Find f(0)

b) Show that f is differentiable at 0 (any tips)?

**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!

# Finding f(0) for the following function

Loading...

Similar Threads for Finding following function | Date |
---|---|

I Can i find this integral in a simpler way | Jan 14, 2018 |

I Q about finding area with double/volume with triple integral | Sep 13, 2017 |

Help~find the interior, boundary, closure and accumulation points of the following. | Oct 4, 2007 |

Find the inverse of following function | Apr 30, 2007 |

Find the following limit as x->0 | Sep 18, 2005 |

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