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Recognize 4−422+433−444+⋯4-\frac{4^{2}}{2}+\frac{4^{3}}{3}-\frac{4^{4}}{4}+\cdots As a Taylor Series Evaluated at a Particular Value of Value

Question 37

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Recognize 4−422+433−444+⋯4-\frac{4^{2}}{2}+\frac{4^{3}}{3}-\frac{4^{4}}{4}+\cdots as a Taylor series evaluated at a particular value of x and find the sum to 4 decimal places.

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