Calculus Examples

$lim_{x \to 5} 5 - x$

Step 1

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

$lim_{x \to 5^{-}} 5 - x$

Step 2

Split the limit using the Sum of Limits Rule on the limit as $x$ approaches $5$ .

$lim_{x \to 5^{-}} 5 - lim_{x \to 5^{-}} x$

Step 3

Evaluate the limit of $5$ which is constant as $x$ approaches $5$ .

$5 - lim_{x \to 5^{-}} x$

Step 4

Simplify the expression.

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Step 4.1

Evaluate the limit of $x$ by plugging in $5$ for $x$ .

$5 - 5$

Step 4.2

Subtract $5$ from $5$ .

$0$