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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.
Determine all possible solutions to the subsequent IVP. y' = y ? y(0) = 0 Solution : First, see that this differential equation does NOT satisfy the conditions of the th
explane
solve and graph the solution set 7x-4 > 5x + 0
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if the numerator of a fraction is decreased by 40% and the denominator is increased by 100% the new value is 1. what was the original factor
Estimate the area between f ( x ) =x 3 - 5x 2 + 6 x + 5 and the x-axis by using n = 5 subintervals & all three cases above for the heights of each of the rectangle. Solution
BROKARAGE.
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Q. Adding Fractions with the Same Denominator? Adding fractions with the same denominator is easy- you add the numerators (the tops), and you leave the denominator alone!
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