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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.
Determine or find out if the following series converges or diverges. If it converges find out its value. Solution We first require the partial sums for this series.
Example Determinant: Determine the determinant of each of the following matrices. Solution : For the 2 x 2 there isn't much to perform other than to plug this in
a man in rested rupee 800 is buying rupee 5 shares and then are selling at premium of rupee 1.15. He sells all the shares.find profit
What is Angles? An angle is made up of two rays with a common endpoint, which is called the vertex. The sides of the angle are rays. An angle is denoted by "θ". When two li
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A word on an alphabet is any arrangement of the letters in the alphabet. For example,ODD, DOD, DOO, DDD are three-letter words on the alphabet {D,O}. How many four-letter words are
draw the graph of following pair of linear equation:-2y=4x-6
how do you do it
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