Chapter 11, Problem 1CR

To determine

To evaluate: the limit using table and determine whether limit can be reached.

Answer to Problem 1CR

  $\underset{x\to 3}{\lim }\left(6x-1\right)=17$

Explanation of Solution

Given:

  $\underset{x\to 3}{\lim }\left(6x-1\right)$

It is given that,

  $\underset{x\to 3}{\lim }\left(6x-1\right)$

Making the table to evaluate the limit when ‘ x’ tends to 0,

x	f ( x )
2.8	15.8
2.9	16.4
2.99	16.94
2.999	16.994
2.9999	16.9994

So, it can be seen from the table when x approaches 3, f ( x ) approaches 17.

Hence,

  $\underset{x\to 3}{\lim }\left(6x-1\right)=17$