What is the limit as x approaches 3 of (12-x)/(x+3) ?

The limit as x approaches 3 of (12-x)/(x+3) is 3/2

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limit as x approaches 3 of (12-x)/(x+3)

x \to 3 lim (\frac{12 - x}{x + 3})

\frac{3}{2}

Decimal

1.5

Solution steps

x \to 3 lim (\frac{12 - x}{x + 3})

Plug in the value

x = 3

= \frac{12 - 3}{3 + 3}

Simplify

\frac{12 - 3}{3 + 3} : \frac{3}{2}

= \frac{3}{2}

x \to \frac{π}{2} + lim (tan (π - x))

x \to 3 lim (2 x - 2)

x \to 5 lim (3 x + 5)

x \to \infty lim (\frac{2 x}{2 ^{x} ln ( 2 )})

x \to 1 - lim (\frac{x - 2 x ^{- 1}}{4 x ^{- 1}})

What is the limit as x approaches 3 of (12-x)/(x+3) ?
The limit as x approaches 3 of (12-x)/(x+3) is 3/2