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

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

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

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

0

Solution steps

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

Simplify

\frac{1 + x ^{4} - 1}{x} : x^{3}

= x \to 0 lim (x^{3})

Plug in the value

x = 0

= 0^{3}

Simplify

= 0

x \to \infty lim (\frac{tanh ( x )}{x})

x \to \infty + lim (2)

x \to 0 lim (\frac{x}{x ^{3} + 5 x})

x \to 1 - lim (- \frac{1}{x ^{2} + 6 x - 7})

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

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