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

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

Popular >

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

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

\infty

Solution steps

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

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

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

x \to 3 + lim (x^{2} + x) = 12

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

= 12 \cdot \infty

Apply Infinity Property:

c \cdot \infty = \infty

= \infty

cos (t + \frac{π}{4})

\int (3 y + 7) d y

\frac{5}{s + 2}

x^{2 x}

x^{2} \frac{d y}{d x} - 2 x y = 4 y^{4}, y (1) = \frac{1}{3}

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