JEE maths#10

Calculus Level 5

limx2x1/2+3x1/3+4x1/4+...+nx1/n(2x3)1/2+(2x3)1/3+...+(2x3)1/n \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.


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