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Divergence Test
Once again, do NOT misuse this test. This test only says that a series is definite to diverge if the series terms do not go to zero in the limit. If the series terms do occur to go to zero the series might or might not converge! Once again, remind the following two series,
Very first, we need to introduce the plan of a rearrangement. A rearrangement of a series is similarly what it might sound like; it is similar series with the terms rearranged into a different order.
For instance, consider the following the infinite series.
A rearrangement of this series is,
The issue we have the requirement to discuss here is that for some series each of these arrangements of terms can have different types of values in spite of the fact that they are using exactly similar terms.
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Find out if the following series is convergent or divergent. Solution There really is not very much to these problems another than calculating the limit and then usin
Application of rate change Brief set of examples concentrating on the rate of change application of derivatives is given in this section. Example Find out all the point
(a) The generating function G(z) for a sequence g n is given by G(z) = 1 - 2z/(1 + 3z)3 Give an explicit formula for g n . (b) For the sequence gn in the previous part co
Whlie solving complex number 1pi in polar form.In book they have taken theta =-pi/4 why not 7pi/4 because the point lie in fourth quadrant and the theta is given by 2pi-angle(alpha
40.783-75
Division of complex number Now, we gave this formula a long with the comment that it will be convenient while it came to dividing complex numbers so let's look at a couple of e
Method In this method we eliminate either x or y, get the value of other variable and then substitute that value in either of the original equations to
29x27
Prove: cotA/2.cotB/2.cotC/2 = cotA/2+cotB/2+cotC/2
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