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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.
what is the difference between North America''s part of the total population and Africa''s part
a. Estimate the following model, C t = β 0 + β 1 * DI t + ε t Where C t = Aggregate Consumption Expenditure in Australia, quarterly data for the per
Explain with the help of number line (-6)+(+5)
A number of the form x + iy, where x and y are real and natural numbers and is called as a complex number. It is normally given by z. i.e. z = x + iy, x is called as the real part
Suppose that the number of hours Katie spent practicing soccer is represented through x. Michael practiced 4 hours more than 2 times the number of hours that Katie practiced. How l
objective of linear programming?
Example Determinant: Determine the determinant of each of the following matrices. Solution : For the 2 x 2 there isn't much to perform other than to plug this in
to difine trigonometric ratios of an angle,is it necessary that the initial ray of the angle must be positive x-axis?
An aeroplane is flying at a specific height of 5 km, and at a velocity of 450 km/hr. A camera on the ground is pointed towards the plane, at an angle θ from the horizontal. As the
A farmer's rectangular field has an area in which can be expressed as the trinomial x2 + 2x + 1. In terms of x, what are the dimensions of the field? Because the formula for th
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