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

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

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

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

- 1

Solution steps

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

Plug in the value

x = 0

= sin (0) - cos (0)

Simplify

sin (0) - cos (0) : - 1

= - 1

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