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

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

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

x \to 0 lim (1 - sin (x))

1

Solution steps

x \to 0 lim (1 - sin (x))

Plug in the value

x = 0

= 1 - sin (0)

Simplify

1 - sin (0) : 1

= 1

x \to 3 + lim (\frac{6}{3 - x})

x \to 2 lim (\frac{x ^{3}}{x ^{2} - 4})

x \to 2 lim (\frac{5}{2 - x})

x \to - 3 + lim (\frac{2}{x + 3})

x \to - 3 + lim (x^{2} - 4)

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