Start your trial now! First week only $4.99!*arrow_forward*

BuyFind*launch*

4th Edition

James Stewart

Publisher: Cengage Learning

ISBN: 9781337687805

Chapter 2.2, Problem 26E

(a)

To determine

**To estimate:** The value of

Expert Solution

The value of

Using the graphing calculator, the graph of the function

Zoom the graph towards the point where the graph crosses the *y*-axis as shown below in Figure 2.

From Figure 2, it is observed that graph of *x* approaches 0 from either side.

Since the right hand and the left hand limits are equal, the value of

That is,

Thus, the value of

(b)

To determine

**To check:** The correctness of the answer obtained in part (a) by evaluating the value of *x* approaches 0.

Expert Solution

As *x* approaches 0, evaluate the function *x* values

Evaluate the function (correct to 6 decimal places) for the values of *x* and get the following table of values.

−0.5 | −1.571428571 | −0.9999998 | 0.318346 |

−0.1 | −0.314285714 | −0.309137252 | 0.318311 |

−0.01 | −0.031428571 | −0.031423398 | 0.318228 |

−0.001 | −0.003142857 | −0.003142852 | 0.318309 |

−0.0001 | −0.000314286 | −0.000314286 | 0.318309 |

0.5 | 1.571428571 | 0.9999998 | 0.318345 |

0.1 | 0.314285714 | 0.309137252 | 0.318311 |

0.01 | 0.031428571 | 0.031423398 | 0.318309 |

0.001 | 0.003142857 | 0.003142852 | 0.318309 |

0.0001 | 0.000314286 | 0.000314286 | 0.318309 |

From the above table, it is observed that the value of *x* approaches to 0 from either side. That is,