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4th Edition

James Stewart

Publisher: Cengage Learning

ISBN: 9781337687805

Chapter 2.2, Problem 20E

To determine

**To guess:** The value of

Expert Solution

The value of limit is guessed to 80.

**Given:**

The values of *h* are

**Calculation:**

Since *h* approaches 0, the values

Evaluate the function (correct to 6 decimal places) when

−0.5 | 7.59375 | −24.4063 | 48.812500 |

−0.1 | 24.76099 | −7.23901 | 72.390100 |

−0.01 | 31.20796 | −0.79204 | 79.203990 |

−0.001 | 31.92008 | −0.07992 | 79.920040 |

−0.0001 | 31.992 | −0.008 | 79.992000 |

Here, the value of *h* closer to 0 from the left side.

That is,

Evaluate the function (correct to 6 decimal places) when

0.5 | 97.65625 | 65.65625 | 131.312500 |

0.1 | 40.84101 | 8.84101 | 88.410100 |

0.01 | 32.80804 | 0.80804 | 80.804010 |

0.001 | 32.08008 | 0.08008 | 80.080040 |

0.0001 | 32.008 | 0.008001 | 80.008000 |

Here, the value of *h* closer to 0 from the right side.

That is,

Since the right hand limit and the left hand limits are the same, the value of

Therefore, the limit of the function is guessed to 80.