Mathematics- Calculus 2

For individually of these serial below let off why it must 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 / one hundred twenty-five 162 /625 - 486 /3125In serial publication form this can be compose asCheck for convergenceTherefore this must converge1In series form this can be written asCheck for convergenceIn principle this go forth converge beca mathematical function the added determine decreases and approaches 0Approximation where wrongful conduct 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 seri es 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 burden below convergesThe sum of the series isAnswer the followingTell what you know approximately infinite series and what it manner 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 overly infinite , not a finite valueUse the blocks of increasing lengths of powers of 2 to determine a number N so that the n-th partial sum of the large-hearted s eries exceeds 100 Be sure that you show con! servatively how you obtain your value of NEqn2 - Eqn1 yieldsN 7...If you sine qua non to get a wax essay, order it on our website: OrderCustomPaper.com

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