What is the limit as x approaches 0 of x^3(sin(x)-1) ?

The limit as x approaches 0 of x^3(sin(x)-1) is 0

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limit as x approaches 0 of x^3(sin(x)-1)

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

0

Solution steps

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

Plug in the value

x = 0

= 0^{3} (sin (0) - 1)

Simplify

0^{3} (sin (0) - 1) : 0

= 0

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

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

x \to 7 lim (1)

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

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

What is the limit as x approaches 0 of x^3(sin(x)-1) ?
The limit as x approaches 0 of x^3(sin(x)-1) is 0