Calculus Examples

$\frac{lim_{x \to 1} 2 - x}{{(x - 1)}^{2}}$

Step 1

Split the limit using the Sum of Limits Rule on the limit as $x$ approaches $1$ .

$\frac{lim_{x \to 1} 2 - lim_{x \to 1} x}{{(x - 1)}^{2}}$

Step 2

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

$\frac{2 - lim_{x \to 1} x}{{(x - 1)}^{2}}$

Step 3

Simplify the expression.

Tap for more steps...

Step 3.1

Evaluate the limit of $x$ by plugging in $1$ for $x$ .

$\frac{2 - 1}{{(x - 1)}^{2}}$

Step 3.2

Subtract $1$ from $2$ .

$\frac{1}{{(x - 1)}^{2}}$