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Exercise 1.3.11

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The forward differences of the squares are ${(t + 1)}^{2} - t^{2} = t^{2} + 2 t + 1 - t^{2} = 2 t + 1$ Differences of the $n$ th power are ${(t + 1)}^{n} - t^{n} = t^{n} - t^{n} + n t^{n - 1} + \dots$ . The leading tem is the derivative $n t^{n - 1}$ . The binomial theorem gives all the terms of ${(t + 1)}^{n}$ .

mathchakra

2021-11-20 14:16

Exercise 1.3.11

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