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

The limit as x approaches 2 of (x-2)/(x^2+4) is 0

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

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

0

Solution steps

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

Plug in the value

x = 2

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

Simplify

= 0

x \to - 2 lim (x^{5} + 8 x - 3 x + \frac{7}{9})

x \to π lim (+ (\frac{x}{sin ( x )}))

x \to 1 + lim (x^{l n (l n (x))})

x \to 0 + lim (\frac{2}{sin ( x )})

x \to 0 lim (\frac{- sin ( x )}{x})

What is the limit as x approaches 2 of (x-2)/(x^2+4) ?
The limit as x approaches 2 of (x-2)/(x^2+4) is 0