What is the limit as x approaches 0 of (2x^2)^{x^4} ?

The limit as x approaches 0 of (2x^2)^{x^4} is Does not exist

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limit as x approaches 0 of (2x^2)^{x^4}

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

Does not exist

Solution steps

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

x \to a - lim f (x) \neq = x \to a + lim f (x)

then the limit does not exist

x \to 0 + lim ((2 x^{2})^{x^{4}}) = 1

x \to 0 - lim ((2 x^{2})^{x^{4}}) =

Does not exist

= Does not exist

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What is the limit as x approaches 0 of (2x^2)^{x^4} ?
The limit as x approaches 0 of (2x^2)^{x^4} is Does not exist