a) Prove that the improper integral «£° e-x2 dx converges to a finite real number. b) Prove

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a) Prove that the improper integral ˆ«£° e-x2 dx converges to a finite real number.
b) Prove that if f is the value of the integral in part a), then

c) Show that

d) Let Qk represent the n-dimensional cube [-k, k] Ã— ˆ™ ˆ™ ˆ™ Ã— [-k, k]. Find

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An Introduction to Analysis

ISBN: 978-0132296380

4th edition

Authors: William R. Wade

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a) Prove that the improper integral «£° e-x2 dx converges to a finite real number. b) Prove

Question:

2= lim e'r dr de. N-700 Jo

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a It is clear that 1 0 e x2 dx is finite Since x 1 implies x 2 x we also have ...View the full answer

An Introduction to Analysis

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