What is the limit as x approaches 0 of e^{x^3}-1 ?

The limit as x approaches 0 of e^{x^3}-1 is 0

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limit as x approaches 0 of e^{x^3}-1

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

0

Solution steps

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

Plug in the value

x = 0

= e^{0^{3}} - 1

Simplify

= 0

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

x \to 0 lim (x^{4} sin (\frac{π}{x}))

x \to \infty lim (xxx)

x \to 2 - lim (ln (x))

x \to 4 lim (\frac{( 3 x ^{2} - 8 x - 16 )}{2 x ^{2} - 9 x + 4})

What is the limit as x approaches 0 of e^{x^3}-1 ?
The limit as x approaches 0 of e^{x^3}-1 is 0