Calculus Examples

$lim_{x \to \frac{1}{2}} 4 x$

Step 1

Move the term $4$ outside of the limit because it is constant with respect to $x$ .

$4 lim_{x \to \frac{1}{2}} x$

Step 2

Evaluate the limit of $x$ by plugging in $\frac{1}{2}$ for $x$ .

$4 (\frac{1}{2})$

Step 3

Cancel the common factor of $2$ .

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Step 3.1

Factor $2$ out of $4$ .

$2 (2) \frac{1}{2}$

Step 3.2

Cancel the common factor.

$2 \cdot 2 \frac{1}{2}$

Step 3.3

Rewrite the expression.

$2$