What is the limit as x approaches 0 of 1/(x^n) ?

The limit as x approaches 0 of 1/(x^n) is 0

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limit as x approaches 0 of 1/(x^n)

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

0

Solution steps

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

Apply exponent rule:

\frac{1}{a ^{b}} = a^{- b}

\frac{1}{x ^{n}} = x^{- n}

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

Plug in the value

x = 0

= 0^{- n}

Simplify

= 0

x \to \frac{1}{2} lim (x + 3)

x \to 0 lim (\frac{ln ∣ x ∣}{x})

θ \to - \frac{π}{2} lim (sec (θ))

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

x \to 3 + lim (x (3))

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