Question: Let f be continuous, increasing, and concave down on [1, () as in Figure 4. Furthermore, let An be the area of the shaded region.

Let f be continuous, increasing, and concave down on [1, () as in Figure 4. Furthermore, let An be the area of the shaded region. Show that An is increasing with n, that An ( T where T is the area of the outlined triangle, and thus that exits.

lim An rt yfx) Figure 4

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