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Find-lim-n-0-5-1-x-x-n-4-1-x-3n-dx-




Question Number 156927 by MathSh last updated on 17/Oct/21
Find:  š›€ =lim_(nā†’āˆž) āˆ«_( 0) ^( 5)  (((1 - x)āˆ™x^(n+4) )/(1 + x^(3n) )) dx = ?
$$\mathrm{Find}: \\ $$$$\boldsymbol{\Omega}\:=\underset{\boldsymbol{\mathrm{n}}\rightarrow\infty} {\mathrm{lim}}\underset{\:\mathrm{0}} {\overset{\:\mathrm{5}} {\int}}\:\frac{\left(\mathrm{1}\:-\:\mathrm{x}\right)\centerdot\mathrm{x}^{\boldsymbol{\mathrm{n}}+\mathrm{4}} }{\mathrm{1}\:+\:\mathrm{x}^{\mathrm{3}\boldsymbol{\mathrm{n}}} }\:\mathrm{dx}\:=\:? \\ $$

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