Question
Use a table to find the indicated limit. The source specifies: Round to eight digits.
Fill every entry in this two-sided table:
| Entry | x (from the left) | f(x) | Entry | x (from the right) | f(x) |
|---|---|---|---|---|---|
| a | 1.9 | e | 2.1 | ||
| b | 1.99 | f | 2.01 | ||
| c | 1.999 | g | 2.001 | ||
| d | 1.9999 | h | 2.0001 |
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Evidence boundary
All eight inputs and the precision instruction come from OpenStax Calculus Volume 1 section 2.2, exercise 38. Table outputs are reproducible calculations, independently checked with high-precision arithmetic. The table suggests the limit; algebra proves its exact value. No value is assigned to the original function at x = 2.