Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §6.6 Powers Instead of Exponentials, #12 · Calculus · Applications of derivatives

Show that … by drawing the graph of

Show that $ln (1 + 1/ x) > 1/ (x + 1)$ by drawing the graph of $1/ t$ . The area from $t = 1$ to $1 + 1/ x$ is ______. The rectangle inside it has area ______.

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §6.6 Powers Instead of Exponentials, #12

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