What is the limit as x approaches 3-of (4-x^2)/(x+3) ?

The limit as x approaches 3-of (4-x^2)/(x+3) is -5/6

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limit as x approaches 3-of (4-x^2)/(x+3)

x \to 3 - lim (\frac{4 - x ^{2}}{x + 3})

- \frac{5}{6}

Decimal

- 0.83333 \dots

Solution steps

x \to 3 - lim (\frac{4 - x ^{2}}{x + 3})

Plug in the value

x = 3

= \frac{4 - 3 ^{2}}{3 + 3}

Simplify

= - \frac{5}{6}

x \to \infty lim (x \cdot sin (\frac{7}{x}))

x \to 1 lim (\frac{x ^{2} - 3}{x - 9})

x \to - 1 + lim (1)

x \to 2 lim (4 x^{3} - 3 x - 5)

x \to 0 lim ((x + 2) \cdot e^{\frac{1}{x}})

What is the limit as x approaches 3-of (4-x^2)/(x+3) ?
The limit as x approaches 3-of (4-x^2)/(x+3) is -5/6