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

Find tangent slope to parabola using Theorem 2.

[tex]y(x) = x^2 + 2x \; \text{at} \; P(-3.3)[/tex]

Theorem 2:

[tex]m = \lim_{h \rightarrow 0} \frac{f(a + h) - f(a)}{h}[/tex]

[tex]m = \lim_{h \rightarrow 0} \frac{(a + h)^2 + 2(a + h) - 3}{h} = \lim_{h \rightarrow 0} \frac{a^2 + h^2 + 2ah + 2a + 2h - 3}{h}[/tex]

[tex]\lim_{h \rightarrow 0} \frac{a^2 + h^2 + 2ah + 2a + 2h - 3}{h} = \lim_{h \rightarrow 0} \frac{(a + h - 1)(a + h + 3)}{h}[/tex]

:uhh:

I have already solved the tangent line using the Tangent Line Theorem, however, I have been unable to eliminate [tex]h[/tex] from the denominator in this theorem using division or numerator conjugates...

Any suggestions?

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

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!

# Limit help!

Loading...

Similar Threads for Limit help | Date |
---|---|

I Need help understanding this step in simplifying a limit equation | Apr 21, 2017 |

I Can someone please help me simplify this expression.... | Jul 5, 2016 |

I Help With Epsilon Delta Proof of multivariable limit | Jun 19, 2016 |

I Limit of cosh and sinh | Mar 30, 2016 |

Help with a limit | Jan 10, 2015 |

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