Solution Found!
(a) Use numerical and graphical evidence to guess the value of the limit lim xl1 x3 2 1
Chapter 2, Problem 55(choose chapter or problem)
(a) Use numerical and graphical evidence to guess the value of the limit lim xl1 x3 2 1 sx 2 1 (b) How close to 1 does x have to be to ensure that the function in part (a) is within a distance 0.5 of its limit?
Questions & Answers
QUESTION:
(a) Use numerical and graphical evidence to guess the value of the limit lim xl1 x3 2 1 sx 2 1 (b) How close to 1 does x have to be to ensure that the function in part (a) is within a distance 0.5 of its limit?
ANSWER:Problem 55
a) Use numerical and graphical evidence to guess the value of the limit
b) How close to 1 does x have to be in order to ensure that the function in part a is within 0.5 of its limit?
Step by Step Solution
Step 1 of 3
(a)
Make a table of values for the function shown below:
x |
f(x) |
0.9 |
5.280931738 |
0.99 |
5.925312187 |
0.999 |
5.992503125 |
0.9999 |
5.999250031 |
1.0001 |
6.000750031 |
1.001 |
6.007503125 |
1.01 |
6.075312812 |
1.1 |
6.781557287 |