What is the limit as x approaches 2 of (sqrt(x^2-4x)-2x)/(2x+5) ?

The limit as x approaches 2 of (sqrt(x^2-4x)-2x)/(2x+5) is Does not exist

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limit as x approaches 2 of (sqrt(x^2-4x)-2x)/(2x+5)

x \to 2 lim (\frac{x ^{2} - 4 x - 2 x}{2 x + 5})

Does not exist

Solution steps

x \to 2 lim (\frac{x ^{2} - 4 x - 2 x}{2 x + 5})

x \to a - lim f (x) = x \to a + lim f (x) = L

then

x \to a lim f (x) = L

x \to 2 - lim (\frac{x ^{2} - 4 x - 2 x}{2 x + 5}) =

Does not exist

x \to 2 + lim (\frac{x ^{2} - 4 x - 2 x}{2 x + 5}) =

Does not exist

= Does not exist

What is the limit as x approaches 2 of (sqrt(x^2-4x)-2x)/(2x+5) ?
The limit as x approaches 2 of (sqrt(x^2-4x)-2x)/(2x+5) is Does not exist