Precalculus Examples

lim x \to 4 10 x - 12

$lim_{x \to 4} 10 x - 12$

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

$4$ .

$lim_{x \to 4} 10 x - lim_{x \to 4} 12$

Step 1.2

Move the term

$10$ outside of the limit because it is constant with respect to

$x$ .

$10 lim_{x \to 4} x - lim_{x \to 4} 12$

Step 1.3

Evaluate the limit of

$12$ which is constant as

$x$ approaches

$4$ .

$10 lim_{x \to 4} x - 1 \cdot 12$

Step 2

Evaluate the limit of

$x$ by plugging in

$4$ for

$x$ .

$10 \cdot 4 - 1 \cdot 12$

Step 3

Simplify the answer.

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Step 3.1

Simplify each term.

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Step 3.1.1

Multiply

$10$ by

$4$ .

$40 - 1 \cdot 12$

Step 3.1.2

Multiply

$- 1$ by

$12$ .

$40 - 12$

Step 3.2

Subtract

$12$ from

$40$ .

$28$

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