Mathematics- Calculus 2

For individually of these serial below explain why it moldiness converge . For serial a , sterilise the takings to which it converges . For serial publication b , determine an approximation for the number to which it converges , so that the hallucination in the approximation is no larger than 0 .0052 - 6 /5 18 /25 - 54 /125 162 /625 - 486 /3125In serial publication form this can be written asCheck for convergenceTherefore this must converge1In series form this can be written asCheck for convergenceIn principle this go forth converge because the added determine decreases and approaches 0Approximation where error is less than 0 .005The series element that is greater than 0 .005 is 0 .000119 , all the values added after this must be less than this number soFor each of the series below , use the comparison Test to determine whether it converges or diverges .

Of course , explain your reasoningThe perfume of the series isSince (an /bn bn therefore the sum below convergesThe sum of the series isAnswer the followingTell what you know approximately infinite series and what it means to say that an infinite series divergesAnswer : When we say an infinite series diverges , this means the value of the sum of infinite series is also infinite , not a finite valueUse the blocks of increasing lengths of powers of 2 to determine a number N so that the Nth partial sum of the large-hearted series exceeds 100 Be sure that you show conservatively how you obtain your value of NEqn2 - Eqn1 yieldsN 7...If you want to get a wax essay, order it on our website: Ordercustompaper.com

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