Science

Math

Humanities

... and beyond

Socratic Meta
Featured Answers

Topics

What is the Integral Test for Convergence of an Infinite Series?

↳Redirected from "What does Hess's law say about the enthalpy of a reaction?"

1 Answer

Oct 16, 2014

Integral Test

If #f# is a function such that #f(n)=a_n#, then

#sum_{n=1}^inftya_n# and #int_1^infty f(x)dx# converge or diverge together.

I hope that this was helpful.

Related questions

How do you know when to use the integral test for an infinite series?
How do you use the Integral test on the infinite series #sum_(n=1)^oo1/root5(n)# ?
How do you use the Integral test on the infinite series #sum_(n=1)^oo1/n^5# ?
How do you use the Integral test on the infinite series #sum_(n=1)^oo1/(2n+1)^3# ?
How do you use the Integral test on the infinite series #sum_(n=1)^oo1/sqrt(n+4)# ?
How do you determine if the series #ln(1/2) + ln(1/3) + ln(3/4) + ... +ln[k/(k + 1)] + ....# converges?
How do you know #{-1,1,-1,1,-1,1,...}# converges or diverges?
Using the integral test, how do you show whether # (1 + (1/x))^x# diverges or converges?
Using the integral test, how do you show whether #sum 1/(n^2+1)# diverges or converges from n=1...
How do you use the Integral Test to determine convergence or divergence of the series: #sum n...

See all questions in Integral Test for Convergence of an Infinite Series

Impact of this question

4472 views around the world

You can reuse this answer
Creative Commons License