## anonymous 5 years ago Calculate sum : 1/(n+1) + 1/(n+2)........to 3n terms

1. anonymous

so the rth term is 1/(n+r)

2. anonymous

$\sum\limits_{i=1}^{2n}\frac{1}{n+i}$ is that correct sum

3. anonymous

4. anonymous

last term in sum is 1/3n or 1/4n?

5. anonymous

according to me the answer is $\ln 4$

6. anonymous

last term is 1/4n

7. watchmath

Do we take the limit as $$n\to \infty$$. Otherwise I don't know how to do that.

8. anonymous

thanks metarock

9. anonymous

yes i have taken n tending to infinity and made a definite integral ..