Precalculus Examples

$lim_{x \to 0} 10 x + 4$

Take the limit of each term.

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Split the limit using the Sum of Limits Rule on the limit as $x$ approaches $0$ .

$lim_{x \to 0} 10 x + lim_{x \to 0} 4$

Move the term $10$ outside of the limit because it is constant with respect to $x$ .

$10 lim_{x \to 0} x + lim_{x \to 0} 4$

Evaluate the limits by plugging in $0$ for all occurrences of $x$ .

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Evaluate the limit of $x$ by plugging in $0$ for $x$ .

$10 \cdot 0 + lim_{x \to 0} 4$

Evaluate the limit of $4$ which is constant as $x$ approaches $0$ .

$10 \cdot 0 + 4$

Simplify the answer.

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Multiply $10$ by $0$ .

$0 + 4$

Add $0$ and $4$ .

$4$

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