Calculus Examples

$lim_{x \to \infty} c e^{- x}$

Step 1

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

$c lim_{x \to \infty} e^{- x}$

Step 2

Since the exponent $- x$ approaches $- \infty$ , the quantity $e^{- x}$ approaches $0$ .

$c \cdot 0$

Step 3

Multiply $c$ by $0$ .

$0$