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Evaluate the limit of the sequence

  1. Nov 3, 2016 #1
    1. The problem statement, all variables and given/known data

    2. Relevant equations
    delta(x) = [b-a]/n

    3. The attempt at a solution
    So, it is said that i have to use riemann sums to solve this one.
    what i did is i took the 1/12k out thus getting

    1/12k[1/[1+1/12k] + 1/[1+2/12k] + 1/{1+19k/12k]]

    I found that

    xi = 1+1/12k
    so ,
    b-a = 1/12 and since a=1 b=13/12

    i find that f(x) = 1/x and i evalute the integral from 1 to 12/12 of 1/x

    I keep getting the wrong answer i really don't know what to do anymore
  2. jcsd
  3. Nov 4, 2016 #2


    Staff: Mentor

    This isn't right. Above you show three terms.
    b1 is a sum that contains 8 terms. How many terms are there in b2? b3? bn?
    Since 12/12 = 1, the integral is ##\int_1^1 \frac 1 x dx = 0##.
  4. Nov 6, 2016 #3
    i found the answer already but still thanks btw the 12/12 was a typo obviously since the b found on the line before was 13/12
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