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

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

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

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

0

Solution steps

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

Plug in the value

x = 0

= sin (0) - 0

Simplify

sin (0) - 0 : 0

= 0

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