Does 1/ln(x+1) converge or diverge?

I've tried the nth term test, limit comparison test, and integral test. All I get is inconclusive. The other tests I have (geometric series, p-series, telescoping series, alternating series, and root tests) don't apply. What can I use?!

As x-> infinity, 1/ln (x+1) approaches zero. That means that it converges.
Is that the limit you had in mind?

As x-> -1, it converges to zero
As x-> 0, it diverges, since ln 1 = 0
ln (x+1) is undefined for x<-1

No, I wondered if the sum converged, not the sequence. Sorry

  1. 👍 0
  2. 👎 0
  3. 👁 270

Respond to this Question

First Name

Your Response

Similar Questions

  1. math

    Link to the diagram - a) Determine what kind of growth this is and explain how you know. b) Explain how you can go about finding an expression for the number of small squares in

    asked by Cary on July 16, 2020
  2. math

    (1,2), (2,9),(3,20)..... a) Determine what kind of growth this is and explain how you know. b) Explain how you can go about finding an expression for the number of small squares in the nth term. c)What is the expression for the

    asked by Jack Will on July 16, 2020
  3. math

    Does the series converge or diverge? If it converges, what is the sum? Show your work. ∑∞n=1−4(−12)n−1

    asked by tom on May 2, 2019
  4. Math

    Ty received test grades of 73%,82%,73%,77%, and 77%. a) what grade would he need to make on the sixth test to get a "C" if a "C" is at least 75% but less than 80%? b) Is it possible for Ty to get a B or better for his test average

    asked by Alice on January 18, 2019
  5. Calculus

    For each sequence an find a number k such that nkan has a finite non-zero limit. (This is of use, because by the limit comparison test the series ∑n=1∞an and ∑n=1∞n−k both converge or both diverge.) D. a_n = (

    asked by . on May 28, 2019
  1. Calculus

    The nth term of a sequence is represented by 2n^4+25n^2+32n−15 ____________________ 6n^4+2n^3−11n^2−2n+17. What is the limit of the the nth term as x becomes increasingly large? A)0 B)1/3 C)3 D)The limit does not exist.

    asked by Megan on May 19, 2020
  2. calculus

    The sum from n=1 to infinity of cos(npi/3)/n! Does this absolutely converge, conditionally converge, or diverge?

    asked by Bob on September 19, 2010
  3. P Value Math Statistics

    Find the P-value for the indicated hypothesis test with the given standardized test statistics, z. Decide whether to reject H0 for the given level of significance a. two-tailed test with test statistic z= -1.57 and a=0.04

    asked by Katie on February 24, 2013
  4. Calc II

    Use the comparison or limit comparison test to decide if the following series converge. Series from n=1 to infinity of (4-sin n) / ((n^2)+1) and the series from n=1 to infinity of (4-sin n) / ((2^n) +1). For each series which

    asked by Lauren on November 7, 2012
  5. tax income

    To be a qualifying child, the taxpayer must meet three general tests and five specific tests. What are the three general tests? A. Relationship test, residency test and gross income test B. Support test, age test and relationship

    asked by Billy on March 2, 2012
  6. Satistics

    The human resources department of a consulting firm gives a standard creativity test to a randomly selected group of new hires every year. This year, 80 new hires took the test and scored a mean of 112.5 points with a standard

    asked by Dane on March 21, 2017

You can view more similar questions or ask a new question.