Calculus Examples

$lim_{x \to 5} 5 x + 8$

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 $x$ approaches $5$ .

$lim_{x \to 5} 5 x + lim_{x \to 5} 8$

Step 1.2

Move the term $5$ outside of the limit because it is constant with respect to $x$ .

$5 lim_{x \to 5} x + lim_{x \to 5} 8$

Step 1.3

Evaluate the limit of $8$ which is constant as $x$ approaches $5$ .

$5 lim_{x \to 5} x + 8$

Step 2

Evaluate the limit of $x$ by plugging in $5$ for $x$ .

$5 \cdot 5 + 8$

Step 3

Simplify the answer.

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Step 3.1

Multiply $5$ by $5$ .

$25 + 8$

Step 3.2

Add $25$ and $8$ .

$33$