Calculus Examples

lim_{x \to 8} \ln (x)

$lim_{x \to 8} \ln (x)$

Step 1

Move the limit inside the logarithm.

\ln (lim_{x \to 8} x)

$\ln (lim_{x \to 8} x)$

Step 2

Evaluate the limit of

x

$x$ by plugging in

8

$8$ for

x

$x$ .

\ln (8)

$\ln (8)$

Step 3

The result can be shown in multiple forms.

Exact Form:

\ln (8)

$\ln (8)$

Decimal Form:

2.07944154 \dots

$2.07944154 \dots$

lim_{x \to 8} (\ln (x))

$lim_{x \to 8} (\ln (x))$

(

)

[

]

√



≥



∫













≤

















∞















[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$