Calculus Examples

$lim_{x \to 0} e^{- x}$

Step 1

Move the limit into the exponent.

$e^{lim_{x \to 0} - x}$

Step 2

Move the term $- 1$ outside of the limit because it is constant with respect to $x$ .

$e^{- lim_{x \to 0} x}$

Step 3

Simplify the expression.

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Step 3.1

Evaluate the limit of $x$ by plugging in $0$ for $x$ .

$e^{0}$

Step 3.2

Anything raised to $0$ is $1$ .

$1$