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

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

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

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

4

Solution steps

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

Simplify

\frac{4 - x ^{2}}{2 - x} : x + 2

= x \to 2 lim (x + 2)

Plug in the value

x = 2

= 2 + 2

Simplify

= 4

x \to 0 lim (tan (x) - sin (x))

x \to a lim (\frac{1}{0 - 10})

\frac{1}{( x - 2 )}

5 θ

f (x) = - 2 x - 1

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