Calculus Examples

$lim_{x \to \infty} \ln (6 + x^{2}) - \ln (4 + x)$

Step 1

Use the quotient property of logarithms, $\log_{b} (x) - \log_{b} (y) = \log_{b} (\frac{x}{y})$ .

$lim_{x \to \infty} \ln (\frac{6 + x^{2}}{4 + x})$

Step 2

As log approaches infinity, the value goes to $\infty$ .

$\infty$