Calculus Examples

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

Step 1

Move the term $- 2$ outside of the limit because it is constant with respect to $x$ .

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

Step 2

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

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

Step 3

Simplify the answer.

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Step 3.1

Multiply $- 2$ by $1$ .

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

Step 3.2

Move the negative in front of the fraction.

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