Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §8.2 Length of a Plane Curve, #19 · Calculus · Applications of integrals

Draw a rough picture of

Draw a rough picture of $y = x^{10}$ . Without computing the length of $y = x^{n}$ from $(0, 0)$ to $(1, 1)$ , find the limit as $n \to \infty$ .

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §8.2 Length of a Plane Curve, #19

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