(a) Use your calculator to approximate 0 b e -0.00001x dx for b = 10, 50,...

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(a) Use your calculator to approximate ∫0b e-0.00001x  dx for b = 10, 50, 100, and 1000.

(b) Based on your answers to part (a), does ∫0 e-0.00001x dx appear to be convergent or divergent?
(c) To what value does the integral actually converge?

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