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    Convergent or divergent series

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    Please assist with the following problems I am having a hard time solving. Please see attached.

    Determine if the following series are convergent or divergent

    Find the values of x for which

    and tell if the series converges or diverges when given the series

    Find power series for the following functions

    Write down the first 4 Taylor polynomials around zero and plot f(x) a long with its approximation
    f(x)=e^(2x+1)

    Use the integral test to determine if the series converges or diverges
    ∑_(k=1)^∞▒〖1/2k-〗 1/(2k+1)
    Use the comparison test test to determine if the series converges or diverges

    ∑_(k=1)^∞▒1/(2k^4+8)

    EVALUATE THE INTEGRALS. USE TRIG SUBSTITUTION AND SHOW WORK

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    https://brainmass.com/math/functional-analysis/convergent-divergent-series-618716

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    Hi,

    Please find detailed solution attached herewith. I hope it will help you.
    I will be happy to assist you in future.

    Thanks

    1. Determine if the following series are convergent or divergent

    Solution:

    Thus, the series converges.

    2. Find the values of x for which

    and tell if the series converges or diverges when given the series

    Solution:

    L < ...

    Solution Summary

    This posting explains different methods of testing convergent or divergent series.

    $2.49

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