Calculus Examples

$lim_{x \to - \infty} - (- \frac{1}{2 \ln (5)} \cdot 5^{- x^{2}})$

Step 1

Move the term $- - 1 \frac{1}{2 \ln (5)}$ outside of the limit because it is constant with respect to $x$ .

$- - 1 \frac{1}{2 \ln (5)} lim_{x \to - \infty} 5^{- x^{2}}$

Step 2

Since the exponent $- x^{2}$ approaches $- \infty$ , the quantity $5^{- x^{2}}$ approaches $0$ .

$- - 1 \frac{1}{2 \ln (5)} \cdot 0$

Step 3

Simplify the answer.

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Step 3.1

Multiply $- 1$ by $- 1$ .

$1 \frac{1}{2 \ln (5)} \cdot 0$

Step 3.2

Multiply $\frac{1}{2 \ln (5)}$ by $1$ .

$\frac{1}{2 \ln (5)} \cdot 0$

Step 3.3

Multiply $\frac{1}{2 \ln (5)}$ by $0$ .

$0$