A calculus problem by Sabhrant Sachan

Calculus Level 4

\[ \large S_n = \dfrac1{1^3}+\dfrac{1+2}{1^3+2^3}+\dfrac{1+2+3}{1^3+2^3+3^3}+\cdots + \dfrac{1+2+3+ \cdots +n}{1^3+2^3+3^3+ \cdots +n^3} \]

Compute \(\displaystyle \lim_{n\to \infty} \lfloor S_n \rfloor \).

Notation: \( \lfloor \cdot \rfloor \) denotes the floor function.

×

Problem Loading...

Note Loading...

Set Loading...