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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.
1/8 of the passengers of a train were children.If there were 40 children travelling in the train on a certain day,how many adults were there in that train that day?
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A cyclist, after riding a certain distance, stopped for half an hour to repair his bicycle, after which he completes the whole journey of 30km at half speed in 5 hours. If the bre
Prove: 1/cos2A+sin2A/cos2A=sinA+cosA/cosA-sinA
what are fractions
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How do I do a two-step problem?
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