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Question #15544

Using the "E - N" definition of the limit, show that
lim(3+3/n)^(1/2) = 3^(1/2)

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**1.**Using the "E-N" definition of the limit, show that lim (2n)/(4n^2+n+1)^(1/2) = 1**2.**Let R be reflexive and transitive relation on a set S. Then R intersect R inverse is a a)reflexive**3.**Solve for the unknown variables: (a) (a, b) + (3, 1) = (6, 7) (b) (11, c) + (d, 6) = (-12, &minu**4.**Let X and Y be metric spaces and let f:=X→Y be a mapping. Pick out the true statements: a.**5.**Pick out the compact sets. a) {(z1,z2)∈C×C:(z1)2+(z2)2=1}. b) The unit spher**6.**Let (M,d(x,y)) be a metric space and suppose that E, K are nonempty subsets of M with E closed, K co**7.**prove that the sequnce <an> defined by an=3n+7/4n+8 is a monotonic sequence.

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