The function is defined for near

MATHEMATICS · Subjective · CBSE · Mathematics · Limits and Derivatives · Limits and Derivatives

Problem

The function kk is defined for xx near 22. Selected values are listed. x | 1.9 | 1.99 | 1.999 | 2.001 | 2.01 | 2.1 k(x) | 3.61 | 3.9601 | 3.996001 | 4.004001 | 4.0401 | 4.41 Using the table, estimate lim⁡x→2k(x)−k(2)x−2.\lim_{x\to 2}\frac{k(x)-k(2)}{x-2}.

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