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The Graph of the Function f(x)=e−x2/5f(x)=e^{-x^{2} / 5} Is a Bell-Shaped Curve Similar to a Normal Probability Density

Question 18

True/False

The graph of the function f(x)=e−x2/5f(x)=e^{-x^{2} / 5} is a bell-shaped curve similar to a normal probability density function.Is ∑i=0∞(−1)ix2i5i(i!)\sum_{i=0}^{\infty} \frac{(-1)^{i} x^{2 i}}{5^{i}(i !)} the Maclaurin series for f(x)f(x) ?

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