What is the limit as x approaches 4 of (x^2-4)/(x-2) ?

The limit as x approaches 4 of (x^2-4)/(x-2) is 6

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limit as x approaches 4 of (x^2-4)/(x-2)

x \to 4 lim (\frac{x ^{2} - 4}{x - 2})

6

Solution steps

x \to 4 lim (\frac{x ^{2} - 4}{x - 2})

Plug in the value

x = 4

= \frac{4 ^{2} - 4}{4 - 2}

Simplify

= 6

\frac{d}{d x} (\frac{3 x + 2}{3 x - 2})

y = x^{4} + 2 x^{2} - x (1.2)

(x^{3} - 25 x)^{12}

\frac{\partial}{\partial x} (ln (2 x + 4 y + 9 z))

f (x) = \frac{( 8 x )}{( sin ( x ) + cos ( x ) )}

What is the limit as x approaches 4 of (x^2-4)/(x-2) ?
The limit as x approaches 4 of (x^2-4)/(x-2) is 6