$\lim_{x\rightarrow\infty} \frac{2x^{1/2} + 3x^{1/3} +4x^{1/4}+...+nx^{1/n}}{(2x-3)^{1/2} + (2x-3)^{1/3} + ...+ (2x-3)^{1/n}}$

Find the value of the limit above to 3 decimal places.

- For more JEE problems try my set 1
- For KVPY practice questions try my set 2