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Assume that (xn) is a sequence of real numbers and that a, b € R with a is not eaqual to 0.
(a) If (xn) converges to x, show that (|axn + b|) converges to |ax + b|.(b) Give an instance , with brief justi cation, where (|xn|) converges but (xn) does not.(c) If (|xn|) converges to 0, elustratethat (xn) converges to 0.
In (a) you need to use only the de nition of convergence and no other limit theorems.
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What are directional derivatives? Explain with two or more examples..
I am really stuck on this topic and other topics its extremely difficult and I dont know what to do Im stressing out help me please.
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6x^7-2x^3+4x-16 / 3x^2-7x+9
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