What is the limit as x approaches 1 of (x^2-3)/(x-6) ?

The limit as x approaches 1 of (x^2-3)/(x-6) is 2/5

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limit as x approaches 1 of (x^2-3)/(x-6)

x \to 1 lim (\frac{x ^{2} - 3}{x - 6})

\frac{2}{5}

Decimal Notation

0.4

Solution steps

x \to 1 lim (\frac{x ^{2} - 3}{x - 6})

Plug in the value

x = 1

= \frac{1 ^{2} - 3}{1 - 6}

Simplify

= \frac{2}{5}

\int sin (\frac{π x}{L}) d x

\frac{d}{d x} (\frac{1}{3} x^{2})

y^{3} - (6 x + 6) + 3 x y^{2} \frac{d y}{d x} = 0

\int \frac{e ^{2 x}}{e ^{2 x} + 2} d x

\frac{d}{d x} (ln (\frac{1}{x - y}))

What is the limit as x approaches 1 of (x^2-3)/(x-6) ?
The limit as x approaches 1 of (x^2-3)/(x-6) is 2/5