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How to solve $lim left(frac{n^3+n+4}{n^3+2n^2}right)^{n^2}$

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2 $begingroup$ I can't seem to find a way to solve: $$lim left(dfrac{n^3+n+4}{n^3+2n^2}right)^{n^2}$$ I've tried applying an exponential and logaritmic to take the $n^2$ out of the exponent, I've tried dividing the expression, but I don't get anywhere that brings light to the solution. Any ideas? sequences-and-series limits share | cite | improve this question edited Jan 25 at 12:32 Did 248k 23 225 463 asked Jan 25 at 11:53 Concept7 Concept7 ...