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

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

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limit as x approaches 0 of x-cos(x)

x \to 0 lim (x - cos (x))

- 1

Solution steps

x \to 0 lim (x - cos (x))

Plug in the value

x = 0

= 0 - cos (0)

Simplify

0 - cos (0) : - 1

= - 1

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

x \to - 1 - lim (\frac{x + 5}{x + 1})

x \to - 3 lim (4 x)

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

x \to 1 lim (3 x^{3} + 5)

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