Precalculus Examples

$lim_{x \to 1} 2 x + 1$

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 $1$ .

$lim_{x \to 1} 2 x + lim_{x \to 1} 1$

Step 1.2

Move the term $2$ outside of the limit because it is constant with respect to $x$ .

$2 lim_{x \to 1} x + lim_{x \to 1} 1$

Step 1.3

Evaluate the limit of $1$ which is constant as $x$ approaches $1$ .

$2 lim_{x \to 1} x + 1$

Step 2

Evaluate the limit of $x$ by plugging in $1$ for $x$ .

$2 \cdot 1 + 1$

Step 3

Simplify the answer.

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Step 3.1

Multiply $2$ by $1$ .

$2 + 1$

Step 3.2

Add $2$ and $1$ .

$3$