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Theorem
If {an} is bounded and monotonic then { an} is convergent.
Be cautious to not misuse this theorem. It does not state that if a sequence is not bounded and/or not monotonic that it is divergent. The sequence in that instance was not monotonic but it does converge.
Note: that we can make various variants of this theorem. If {an}is bounded above and increasing after that it converges and similarly if {an} n a is bounded below and decreasing after that it converges.
Using the expample provided below, if m∠ABE = 4x + 5 and m∠CBD = 7x - 10, Determine the measure of ∠ABE. a. 155° b. 73° c. 107° d. 25° d. ∠CBD and ∠ABE are vert
Mr. Pelicas took his family out to dinner. The bill was $65.00. He would such as to leave a 20% tip. How much should he leave? Find 20% by multiplying $65 through the decimal e
assignment on theorems on circle for class 9
One integer is two more than another. The sum of the lesser integer and double the greater is 7. What is the greater integer? Let x = the greater integer and y = the lesser int
Prove that the area of a rhombus on the hypotenuse of a right-angled triangle, with one of the angles as 60o, is equal to the sum of the areas of rhombuses with one of their angles
How do I create an input-output table with the rule -12
For the initial value problem y' + 2y = 2 - e -4t , y(0) = 1 By using Euler's Method along with a step size of h = 0.1 to get approximate values of the solution at t = 0.1, 0
solution for this project
subtract 20and 10,and then mutiply by 5
what are the core concept of marketing
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