calculus-II-analysis-I-consider-the-sequence-c-n-n-1-in-which-c-n-1-1-2-1-3-1-n-ln-n-prove-that-the-above-sequence-is-convergent-and-th

Question Number 122859 by mnjuly1970 last updated on 20/Nov/20

\dots c a l c u l u s (I I) - a n a l y s i s (I) \dots

::: c o n s i d e r t h e s e q u e n c e {c_{n}}_{n = 1}^{\infty}

i n w h i c h :: c_{n} = 1 + \frac{1}{2} + \frac{1}{3} + \dots + \frac{1}{n} - l n (n)

p r o v e t h a t t h e a b o v e s e q u e n c e i s

c o n v e r g e n t a n d t h e n

f i n d i t s l i m i t .