Calculus Examples

$\frac{lim_{x \to 8} \ln ({(x)}^{2})}{x}$

Step 1

Evaluate the limit.

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Step 1.1

Move the limit inside the logarithm.

$\frac{\ln (lim_{x \to 8} {(x)}^{2})}{x}$

Step 1.2

Move the exponent $2$ from ${(x)}^{2}$ outside the limit using the Limits Power Rule.

$\frac{\ln ({(lim_{x \to 8} x)}^{2})}{x}$

Step 2

Evaluate the limit of $x$ by plugging in $8$ for $x$ .

$\frac{\ln (8^{2})}{x}$

Step 3

Raise $8$ to the power of $2$ .

$\frac{\ln (64)}{x}$