What is the limit as x approaches 0 of (x^2-5)/(x-2) ?

The limit as x approaches 0 of (x^2-5)/(x-2) is 5/2

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limit as x approaches 0 of (x^2-5)/(x-2)

x \to 0 lim (\frac{x ^{2} - 5}{x - 2})

\frac{5}{2}

Decimal Notation

2.5

Solution steps

x \to 0 lim (\frac{x ^{2} - 5}{x - 2})

Plug in the value

x = 0

= \frac{0 ^{2} - 5}{0 - 2}

Simplify

= \frac{5}{2}

\frac{d ^{2}}{d x ^{2}} x y + 2 x^{2} = 5

\int sin^{3} (x) \cdot cos (x) d x

\frac{7}{x + 4}

\int x^{3} e^{x^{4} + 5} d x

What is the limit as x approaches 0 of (x^2-5)/(x-2) ?
The limit as x approaches 0 of (x^2-5)/(x-2) is 5/2