What is the limit as x approaches infinity of ((3n+1)/(5+3n))^{n^2+2} ?

The limit as x approaches infinity of ((3n+1)/(5+3n))^{n^2+2} is ((3n+1)/(5+3n))^{n^2+2}

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limit as x approaches infinity of ((3n+1)/(5+3n))^{n^2+2}

x \to \infty lim ((\frac{3 n + 1}{5 + 3 n})^{n^{2} + 2})

(\frac{3 n + 1}{5 + 3 n})^{n^{2} + 2}

Solution steps

x \to \infty lim ((\frac{3 n + 1}{5 + 3 n})^{n^{2} + 2})

x \to a lim c = c

= (\frac{3 n + 1}{5 + 3 n})^{n^{2} + 2}

x \to 3 lim (3 x - 8)

x \to 0 lim (\frac{3}{x ^{5}})

x \to \infty lim (2^{x + 1} 3^{- x})

x \to 0 lim (x - arcsin (x))

x \to - 10 - lim (\frac{1}{( x + 10 ) ^{6}})

What is the limit as x approaches infinity of ((3n+1)/(5+3n))^{n^2+2} ?
The limit as x approaches infinity of ((3n+1)/(5+3n))^{n^2+2} is ((3n+1)/(5+3n))^{n^2+2}