Calculus Examples

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

Step 1

Evaluate the limit.

Tap for more steps...

Step 1.1

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

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

Step 1.2

Evaluate the limit of $1$ which is constant as $x$ approaches $2$ .

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

Step 2

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

$\frac{1}{2}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{2}$

Decimal Form:

$0.5$