Calculus Examples

$lim_{x \to 2} \sqrt[3]{- x + 4}$

Step 1

Move the limit under the radical sign.

$\sqrt[3]{lim_{x \to 2} - x + 4}$

Step 2

Split the limit using the Sum of Limits Rule on the limit as $x$ approaches $2$ .

$\sqrt[3]{- lim_{x \to 2} x + lim_{x \to 2} 4}$

Step 3

Evaluate the limit of $4$ which is constant as $x$ approaches $2$ .

$\sqrt[3]{- lim_{x \to 2} x + 4}$

Step 4

Simplify the expression.

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Step 4.1

Evaluate the limit of $x$ by plugging in $2$ for $x$ .

$\sqrt[3]{- 2 + 4}$

Step 4.2

Add $- 2$ and $4$ .

$\sqrt[3]{2}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\sqrt[3]{2}$

Decimal Form:

$1.25992104 \dots$