Decide if the improper integral = 0 e2t dt converges, and if so, to what value, by the
Chapter 6, Problem 28(choose chapter or problem)
Decide if the improper integral = 0 e2t dt converges, and if so, to what value, by the following method. (a) Use a computer or calculator to find =b 0 e2t dt for b = 3, 5, 7, 10. What do you observe?Make a guess about the convergence of the improper integral. (b) Find =b 0 e2t dt using the Fundamental Theorem. Your answer will contain b. (c) Take a limit as b . Does your answer confirm your guess?
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