What is the limit as x approaches 0 of |1-3/x |^x ?

The limit as x approaches 0 of |1-3/x |^x is 1

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limit as x approaches 0 of |1-3/x |^x

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

1

Solution steps

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

Plug in the value

x = 0

= 1 - \frac{3}{0}^{0}

Simplify

= 1

n \to \infty lim (\frac{- 1}{n})

x \to 2 lim (\frac{[ x ] - 2}{x - 2})

x \to 0 lim (\frac{( 1 + x )}{8 + x})

x \to 3 lim (e)

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

What is the limit as x approaches 0 of |1-3/x |^x ?
The limit as x approaches 0 of |1-3/x |^x is 1