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1.find lim sup Ek and liminf Ek of Ek=[(-(1/k),1] for k odd and liminf Ek=[(-1,(1/k)] for k even. 2.Show that the set E = {x in R^2 : x1, x2 in Q} is dense in R^2. 3.let r>0 and S={x in R^3:(x1)^2+(x2)^2+(x3)^2<(r)^2} show that diam S=2r.4.let x=(x1,...xn) in Rn.show that (? k=1,n xk)^2<=n|x|^2.
Theorem If {a n } is bounded and monotonic then { a n } is convergent. Be cautious to not misuse this theorem. It does not state that if a sequence is not bounded and/or
What is the objective of lipids metabolism ? After studying this unit, you will be able to: 1. explain how fatty acids are oxidized for the production of energy, 2. describe
there are 5 small cubes and it reads the 5 small cubes is 1/100, then what is the ONE?
sq root of tan x dx
Two circles touch internally at a point P and from a point T on the common tangent at P, tangent segments TQ and TR are drawn to the two circles. Prove that TQ = TR. Given:
A survey of 400 of recently qualified chartered Accountant revealed that 112 joined industry, 120 stated practice & 160 joined the firms of practicing chartered accountants as paid
Max goes to the gym every fourth day. Ellen's exercise routine is to go every third day. Today is Monday and both Max and Ellen are at the gym. What will the day of the week be the
i have trouble going through problem in this lesson. Markdown and Markups are theh ones im stuck in
la expresión que permite calcular el radio medio de la órbita de cada planeta es?
Find the magnitude of the following vectors: 5i+7j
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