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

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

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limit as x approaches 0 of 1+sin(x)-e^x

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

0

Solution steps

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

Plug in the value

x = 0

= 1 + sin (0) - e^{0}

Simplify

1 + sin (0) - e^{0} : 0

= 0

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