**(a)**
Check the local linearity of [math]

[math] | 0.9 | 1 | 1.1 |

[math] | |||

[math] | |||

[math] |

**(b)**
Next, fill in the table for the values [math]

[math] | 0.99 | 1 | 1.01 |

[math] | |||

[math] | |||

[math] |

Notice if the two tables look nearly linear, and whether the second looks more linear than the first (in particular, think about how you would decide if they were linear, or if the one were more closely linear than the other).

**(c)**
Give the local linearization of [math]

Using the second of your tables:

[math]

Using the fact that
[math]

[math]