Calculus Examples

$lim_{y \to 0} (z (x + y)) - z x$

Step 1

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

$lim_{y \to 0} z (x + y) - lim_{y \to 0} z x$

Step 2

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

$lim_{y \to 0} z (x + y) - z x$

Step 3

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

Tap for more steps...

Step 3.1

Evaluate the limit of $z (x + y)$ by plugging in $0$ for $y$ .

$z (x + 0) - z x$

Step 3.2

Add $x$ and $0$ .

$z (x) - z x$