What is the limit as x approaches 0 of (x^4-1)/(x-1) ?

The limit as x approaches 0 of (x^4-1)/(x-1) is 1

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limit as x approaches 0 of (x^4-1)/(x-1)

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

1

Solution steps

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

Plug in the value

x = 0

= \frac{0 ^{4} - 1}{0 - 1}

Simplify

= 1

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

x \to 0 lim ((3 x + 1)^{\frac{2}{x}})

x \to 0 lim (coth (\frac{1}{x}))

x \to 2 lim (\frac{1}{( x ^{2} - 4 )})

x \to 0 + lim ((- 2 ln (x))^{x})

What is the limit as x approaches 0 of (x^4-1)/(x-1) ?
The limit as x approaches 0 of (x^4-1)/(x-1) is 1