Show that 0 e x 2 e x for x 1 (Figure 12). Use

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Show that 0 ≤ e−x≤ e−x for x ≥ 1 (Figure 12). Use the Comparison Test to show that ∫e−x2 dx converges. It suffices (why?) to make the comparison for x ≥ 1 because 

-4 -3 -2 -1 1 y = elx -2  3 4

I 0/ era 0 xp 3- f + xp,y_ F = xp - g

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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