What is the limit as x approaches 0 of (1)^{1/(x^2)} ?

The limit as x approaches 0 of (1)^{1/(x^2)} is 1

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limit as x approaches 0 of (1)^{1/(x^2)}

x \to 0 lim ((1)^{\frac{1}{x ^{2}}})

1

Solution steps

x \to 0 lim (1^{\frac{1}{x ^{2}}})

Simplify

= x \to 0 lim (1)

x \to a lim c = c

= 1

x \to 0 lim (\frac{1}{2 + x})

x \to 0 lim (e^{\frac{1}{x}} x^{2})

x \to 0 lim ((1 - \frac{x}{3})^{\frac{4}{x}})

x \to 0 lim (x ln ∣ 5 x ∣)

x \to \infty lim (30)

What is the limit as x approaches 0 of (1)^{1/(x^2)} ?
The limit as x approaches 0 of (1)^{1/(x^2)} is 1