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

question 18

True/False

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

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