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

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

Popular >

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

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

\infty

Solution steps

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

3 + x

is positive when

x \to 3 -

. Therefore

∣ 3 + x ∣ = 3 + x

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

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

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

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

x \to 3 - lim (3 + x) = 6

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

= 6 \cdot \infty

Apply Infinity Property:

c \cdot \infty = \infty

= \infty

\frac{\partial}{\partial y} (e^{y} sin (x y))

\int \frac{9 x}{( 2 - x ^{2} ) ^{3}} d x

\frac{\partial}{\partial x} (x^{3} sin (x y))

\int (1 - e^{- 10 t} - 10 t e^{- 10 t}) d t

y = 3 x, y = 3, x = 0

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