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

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

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limit as x approaches 0 of cos(x)-1+x

x \to 0 lim (cos (x) - 1 + x)

0

Solution steps

x \to 0 lim (cos (x) - 1 + x)

Plug in the value

x = 0

= cos (0) - 1 + 0

Simplify

cos (0) - 1 + 0 : 0

= 0

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