Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN: 9781133382119
Author: Swokowski
Publisher: Cengage
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
Transcribed Image Text:Suppose (En) is a disjoint collection of measurable sets. Use induction on n to establish
the following result.
for every
ΜΕΝ,
(A) (An E) + A*
E.) + X* (A (n))
for every ACR.
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- Prove the conjecture made in the preceding exercise.arrow_forwardUse generalized induction and Exercise 43 to prove that n22n for all integers n5. (In connection with this result, see the discussion of counterexamples in the Appendix.) 1+2n2n for all integers n3arrow_forward49. a. The binomial coefficients are defined in Exercise of Section. Use induction on to prove that if is a prime integer, then is a factor of for . (From Exercise of Section, it is known that is an integer.) b. Use induction on to prove that if is a prime integer, then is a factor of .arrow_forward
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