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

The limit as x approaches 2+of (x+4)/(x-2) is infinity

Popular >

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

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

\infty

Solution steps

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

\frac{x + 4}{x - 2} = (x + 4) \frac{1}{x - 2}

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

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

x \to 2 + lim (x + 4) = 6

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

= 6 \cdot \infty

Apply Infinity Property:

c \cdot \infty = \infty

= \infty

x \to 0 lim (\frac{7 x}{∣ x ∣})

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

x \to 6 + lim (\frac{7}{x - 6})

\int_{0}^{7} 2 t^{2} - 20 t + 48 d t

\int tan^{3} (15 π x) d x

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