Calculus Examples

$\frac{lim_{b \to - 3} b + 1}{b + 3}$

Step 1

Evaluate the limit.

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Step 1.1

Split the limit using the Sum of Limits Rule on the limit as $b$ approaches $- 3$ .

$\frac{lim_{b \to - 3} b + lim_{b \to - 3} 1}{b + 3}$

Step 1.2

Evaluate the limit of $1$ which is constant as $b$ approaches $- 3$ .

$\frac{lim_{b \to - 3} b + 1}{b + 3}$

Step 2

Evaluate the limit of $b$ by plugging in $- 3$ for $b$ .

$\frac{- 3 + 1}{b + 3}$

Step 3

Simplify the answer.

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Step 3.1

Add $- 3$ and $1$ .

$\frac{- 2}{b + 3}$

Step 3.2

Move the negative in front of the fraction.

$- \frac{2}{b + 3}$