Calculus Examples

$lim_{x \to 5} \frac{150}{g (x)}$

Step 1

Evaluate the limit.

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Step 1.1

Move the term $150$ outside of the limit because it is constant with respect to $x$ .

$150 lim_{x \to 5} \frac{1}{g (x)}$

Step 1.2

Split the limit using the Limits Quotient Rule on the limit as $x$ approaches $5$ .

$150 \frac{lim_{x \to 5} 1}{lim_{x \to 5} g (x)}$

Step 1.3

Evaluate the limit of $1$ which is constant as $x$ approaches $5$ .

$150 \frac{1}{lim_{x \to 5} g (x)}$

Step 2

Evaluate the limit of $g (x)$ by plugging in $5$ for $x$ .

$150 \frac{1}{g (5)}$

Step 3

Combine $150$ and $\frac{1}{g (5)}$ .

$\frac{150}{g (5)}$