Calculus Examples

$lim_{x \to 8} 10^{x} \cdot \ln (10)$

Step 1

Evaluate the limit.

Tap for more steps...

Step 1.1

Move the term $\ln (10)$ outside of the limit because it is constant with respect to $x$ .

$\ln (10) lim_{x \to 8} 10^{x}$

Step 1.2

Move the limit into the exponent.

$\ln (10) \cdot 10^{lim_{x \to 8} x}$

Step 2

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

$\ln (10) \cdot 10^{8}$

Step 3

Simplify the answer.

Tap for more steps...

Step 3.1

Raise $10$ to the power of $8$ .

$\ln (10) \cdot 100000000$

Step 3.2

Move $100000000$ to the left of $\ln (10)$ .

$100000000 \ln (10)$

Step 4

The result can be shown in multiple forms.

Exact Form:

$100000000 \ln (10)$

Decimal Form:

$230258509.299405$