Precalculus Examples

lim_{x \to \infty} \frac{4}{x}

$lim_{x \to \infty} \frac{4}{x}$

Step 1

Move the term

4

$4$ outside of the limit because it is constant with respect to

x

$x$ .

4 lim_{x \to \infty} \frac{1}{x}

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

Step 2

Since its numerator approaches a real number while its denominator is unbounded, the fraction

\frac{1}{x}

$\frac{1}{x}$ approaches

0

$0$ .

4 \cdot 0

$4 \cdot 0$

Step 3

Multiply

4

$4$ by

0

$0$ .

0

$0$

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