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

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

Popular >

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

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

\infty

Solution steps

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

\frac{x ^{2}}{x + 3} = x^{2} \frac{1}{x + 3}

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

x \to a lim [f (x) \cdot g (x)] = x \to a lim f (x) \cdot x \to a lim g (x)

With the exception of indeterminate form

= x \to - 3 + lim (x^{2}) \cdot x \to - 3 + lim (\frac{1}{x + 3})

x \to - 3 + lim (x^{2}) = 9

x \to - 3 + lim (\frac{1}{x + 3}) = \infty

= 9 \cdot \infty

Apply Infinity Property:

c \cdot \infty = \infty

= \infty

\int arctan (3 x) d x

f (x) = 24 e^{x}, at x = 2

\frac{d}{d x} (ln (5 x^{2} + 1))

sin (x), \frac{1}{6} π

\frac{\partial}{\partial y} (tan (3 x - 5 y))

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