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Question

Multivariable Calculus Question on Integral Calculus

The value of the limit
limn(14+24++n4n5+1n(1n+1+1n+2+...+14n))lim _{n→∞}(\frac{1^4+2^4+…+n^4}{n^5}+\frac{1}{√n}(\frac{1}{\sqrt{n+1}}+\frac{1}{\sqrt{n+2}}+...+\frac{1}{\sqrt{4n}}))
is equal to___(Rounded off two decimal places)

Answer

The correct answer is: 2.19 to 2.21 (approx)