Show all the appropriate steps. It is an open book test. Show your work. You will receive full credit only if your notes are allowed. Sketch set, and find inf and sup of the set below: B = {c ∈ R: 4r ≤ 2z} Use mathematical induction to prove the identity: 1.1 + (4.1) + 1.1^2 + ... + (1.1)^(n-1) = 0.1 for all natural n > 2 Find sup and inf of the set below: A = {2m: m are natural numbers} Let f(z): a) Find the biggest domain of definition of the function on the real number set. b) Find the range of the function. Find the inverse f^(-1) and determine its biggest domain of definition. Find the range of the function f^(-1). 5. Find all values of € that satisfy the inequality: (1 + 0.1r) < 1
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Sketch set, and find inf and Sup of the set below B := {c ∈ R: 4r ≥ 2c} To sketch the set B, we can rewrite the inequality as c ≤ 2r. This represents all points (r, c) such that the value of c is less than or equal to twice the value of r. This is a region in the Show more…
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