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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.
Verify Louisville''s formula for y "-y" - y'' + y = 0 in (0, 1) question..
Example of Probability Illustration: It has been determined that the probability density function for the wait in line at a counter is specified by, In which t is the
calcula el área de la región sombreada de un rectángulo cuya base es 12.6 cm y su altura es 8.4
(1) Prove that Zorn's lemma is equivalent to axiom of choice. (2) Use Zorn's Lemma to prove the existence of E.
Find the magnitude of the following vectors: 5i+7j
how many formulas there for the (a-b)2
Devise one activity each to help the child understand 'as many as' and 'one-to-one correspondence'. Try them out on a child/children in your neighbourhood, and record your observat
Example of Product moment correlation The given data was acquired during a social survey conducted in a described urban area regarding the yearly income of described families
A teacher on attempting to arrange the students for mass drill in the form of a solid square found that 24 students were left over. When he increased the size of the square by one
Find the sum of all 3 digit numbers which leave remainder 3 when divided by 5. Ans: 103, 108..........998 a + (n-1)d = 998
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