Calculus Examples

$\frac{lim_{x \to - 8} x - (x - 3)}{7 - x^{2}}$

Step 1

Evaluate the limit of $x - (x - 3)$ by plugging in $- 8$ for $x$ .

$\frac{- 8 - (- 8 - 3)}{7 - x^{2}}$

Step 2

Simplify each term.

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Step 2.1

Subtract $3$ from $- 8$ .

$\frac{- 8 - - 11}{7 - x^{2}}$

Step 2.2

Multiply $- 1$ by $- 11$ .

$\frac{- 8 + 11}{7 - x^{2}}$

Step 3

Add $- 8$ and $11$ .

$\frac{3}{7 - x^{2}}$