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

I'm having trouble visualizing why in a function such as 1/(1-x^{2})

linear approximation of 1/(1-u) where u = x^{2}is the same as quadratic approximation of 1/(1-x^{2})

The linear approximation is 1+u or 1+x^{2}

Quadratic approximation is the same, 1+x^{2}

Can someone explain to me why this happens?

Thanks!

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

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

# Why can linear approximation equal quadratic approximation

Loading...

Similar Threads - linear approximation equal | Date |
---|---|

B Need some help with understanding linear approximations | Feb 17, 2018 |

Local Linear Approximation vs Linearization | Nov 10, 2013 |

Linear approximation higher order terms | Feb 14, 2013 |

Approximate Solutions to Non-Linear Differential Equations | Feb 20, 2009 |

Linear Approximation test | May 31, 2006 |

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