What is the limit as x approaches infinity of (2x+1)/(\sqrt[5]{x^3+x^2-2)} ?

The limit as x approaches infinity of (2x+1)/(\sqrt[5]{x^3+x^2-2)} is infinity

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limit as x approaches infinity of (2x+1)/(\sqrt[5]{x^3+x^2-2)}

\infty

Solution steps

Divide by

x \to a lim [\frac{f ( x )}{g ( x )}] = \frac{lim _{x \to a} f ( x )}{lim _{x \to a} g ( x )}, x \to a lim g (x) \neq = 0

With the exception of indeterminate form

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

= \frac{\infty}{1}

Apply Infinity Property:

\frac{\infty}{c} = \infty

= \infty

x \to 1 lim (\frac{1}{( x - 1 ) ^{4} + 2})

x \to 0 lim (\frac{( 5 ^{x} - 4 ^{x} )}{x})

x \to 0 lim (cos (\frac{2 π}{x}))

x \to 0 lim (\frac{3 x}{∣ x ∣})

x \to 0 + lim (x^{- x})

What is the limit as x approaches infinity of (2x+1)/(\sqrt[5]{x^3+x^2-2)} ?
The limit as x approaches infinity of (2x+1)/(\sqrt[5]{x^3+x^2-2)} is infinity