Question: Let f(x) = 1 x 1and consider the closed region R bounded by y = f(x) and the x-axis on the interval [0,2]. Show that

Let f(x) = 1 x 1and consider the closed region R bounded by y = f(x) and the x-axis on the interval [0,2]. Show that relative to regular partitioning, the second left Riemann sum L2 is a better approximation of the area of R than the third left Riemann sum L3 of f on [0,2].

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2. Information that comes most readily to mind (availability).

3. An initial value (anchoring).

4. Similarity (representativeness).