Calculus Examples

$f (x) lim_{x \to 15} \frac{1}{x}$

Step 1

Evaluate the limit.

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Step 1.1

Split the limit using the Limits Quotient Rule on the limit as $x$ approaches $15$ .

$f (x) \frac{lim_{x \to 15} 1}{lim_{x \to 15} x}$

Step 1.2

Evaluate the limit of $1$ which is constant as $x$ approaches $15$ .

$f (x) \frac{1}{lim_{x \to 15} x}$

Step 2

Evaluate the limit of $x$ by plugging in $15$ for $x$ .

$f (x) \frac{1}{15}$

Step 3

Combine $f (x)$ and $\frac{1}{15}$ .

$\frac{f (x)}{15}$