Question

Given that

lim x→1 (4x − 3) = 1,

illustrate Definition 2 by finding values of *δ* that correspond to *ε* = 0.1, *ε* = 0.05, and *ε* = 0.01.

ε = 0.1 |
δ |
≤ | 1 |

ε = 0.05 |
δ |
≤ | 2 |

ε = 0.01 |
δ |
≤ | 3 |

Step 1

To find the value of delta (following the definition of the limit of a function ) for the given function (and given epsilons)

Step 2

Recall the epsilon -delta definition of the limit of a function at a point a.

Step 3

The existence of limit is no issue. But we want to find the values of delta corresponding to the values of epsilons given. In our ...

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