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

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

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limit as x approaches 0 of 1-(sin(x))/x

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

0

Solution steps

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

x \to a lim [f (x) \pm g (x)] = x \to a lim f (x) \pm x \to a lim g (x)

With the exception of indeterminate form

= x \to 0 lim (1) - x \to 0 lim (\frac{sin ( x )}{x})

x \to 0 lim (1) = 1

x \to 0 lim (\frac{sin ( x )}{x}) = 1

= 1 - 1

Simplify

= 0

\frac{d}{d x} (\frac{2 x ^{2}}{∣ x ∣})

\frac{d}{d x} (1 - e^{x})

y = x^{3} - 2 x + 2 (4.58)

x^{3} + x^{2} - 6 x, - x^{2} + 2 x

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