Calculus Examples

$lim_{x \to 3} \frac{4 - 3}{4^{3} - 27}$

Step 1

Evaluate the limit of $\frac{4 - 3}{4^{3} - 27}$ which is constant as $x$ approaches $3$ .

$\frac{4 - 3}{4^{3} - 27}$

Step 2

Simplify the answer.

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Step 2.1

Subtract $3$ from $4$ .

$\frac{1}{4^{3} - 27}$

Step 2.2

Simplify the denominator.

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Step 2.2.1

Raise $4$ to the power of $3$ .

$\frac{1}{64 - 27}$

Step 2.2.2

Subtract $27$ from $64$ .

$\frac{1}{37}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{37}$

Decimal Form:

$0.\overline{027}$