Calculus Examples

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

Step 1

Change the two-sided limit into a left sided limit.

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

Step 2

Evaluate the limit.

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Step 2.1

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 2.2

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

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

Step 3

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

$2 + 3$

Step 4

Add $2$ and $3$ .

$5$