What is the limit as x approaches infinity of (2x^{-5}+1)^{6x^5} ?

The limit as x approaches infinity of (2x^{-5}+1)^{6x^5} is Does not exist

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limit as x approaches infinity of (2x^{-5}+1)^{6x^5}

x \to \infty lim ((2 x^{- 5} + 1)^{6 x^{5}})

Does not exist

Solution steps

x \to \infty lim ((2 x^{- 5} + 1)^{6 x^{5}})

Factor out

2 x^{- 5}

from

2 x^{- 5} + 1 : 2 x^{- 5} (x^{10} + x^{10} \frac{1}{2 x ^{- 5}})

= x \to \infty lim ((2 x^{- 5} (x^{10} + x^{10} \frac{1}{2 x ^{- 5}}))^{6 x^{5}})

(2 x^{- 5} (x^{10} + x^{10} \frac{1}{2 x ^{- 5}}))^{6 x^{5}}

undefined for

x

approaching

\infty

= Does not exist

x \to 0 lim (x + 1)

x \to 0 lim (\frac{m x}{m ^{4} x ^{2}})

x \to 0 - lim (ln (1 - e^{x}))

x \to \infty lim (- 1 + x)

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

What is the limit as x approaches infinity of (2x^{-5}+1)^{6x^5} ?
The limit as x approaches infinity of (2x^{-5}+1)^{6x^5} is Does not exist