Mathematics

Mathematics

Problem

Two functions gg and ff are defined as follows. Values of gg near x=2x=2: x | 1.9 | 1.99 | 2.01 | 2.1 g(x) | 3.12 | 3.01 | 2.99 | 2.88 Values of ff near u=3u=3: u | 2.9 | 2.99 | 3.01 | 3.1 f(u) | 7.04 | 7.0004 | 6.9996 | 6.96 Using the data, what is the best estimate of lim⁡x→2f(g(x))\displaystyle \lim_{x\to 2} f\bigl(g(x)\bigr)? a) 7.047.04 b) 77 c) 6.966.96 d) 99

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