Calculus Examples

$lim_{x \to - 1} \frac{1 - x}{- 1 + x}$

Step 1

Cancel the common factor of $1 - x$ and $- 1 + x$ .

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Step 1.1

Rewrite $1$ as $- 1 (- 1)$ .

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

Step 1.2

Factor $- 1$ out of $- x$ .

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

Step 1.3

Factor $- 1$ out of $- 1 (- 1) - (x)$ .

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

Step 1.4

Cancel the common factor.

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

Step 1.5

Divide $- 1$ by $1$ .

$lim_{x \to - 1} - 1$

Step 2

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

$- 1$