Calculus Examples

$lim_{x \to 2} x - 3$

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 $x$ approaches $2$ .

$lim_{x \to 2} x - lim_{x \to 2} 3$

Step 1.2

Evaluate the limit of $3$ which is constant as $x$ approaches $2$ .

$lim_{x \to 2} x - 1 \cdot 3$

Step 2

Evaluate the limit of $x$ by plugging in $2$ for $x$ .

$2 - 1 \cdot 3$

Step 3

Simplify the answer.

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Step 3.1

Multiply $- 1$ by $3$ .

$2 - 3$

Step 3.2

Subtract $3$ from $2$ .

$- 1$