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The slope field for $F^{'}(x) = e^{-x^{2}}$ is shown here with a particular solution $F(0)=0$ superimposed. Using calculator, find

$$ \lim_{x \rightarrow \infty} F(x)$$ to $3$ decimal places.

Answer choices were

(A) $0.886$

(B) $0.987$

(C) $1.000$

(D) $1.414$

(E) $\infty$

The book says that answer is A, but I want to understand this.

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