What is the limit as x approaches 3-of ln(1/(3-x)) ?

The limit as x approaches 3-of ln(1/(3-x)) is infinity

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limit as x approaches 3-of ln(1/(3-x))

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

\infty

Solution steps

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

Apply log rule:

lo g_{a} (\frac{1}{x}) = - lo g_{a} (x)

= x \to 3 - lim (- ln (3 - x))

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

= - x \to 3 - lim (ln (3 - x))

Apply the Limit Chain Rule:

- \infty

= - (- \infty)

Simplify

= \infty

∣ x - 5 ∣ + 1

- 4 sin (3 t)

\frac{d}{d x} ((4 x^{2} - 6 x) e^{x})

2 x^{2} y^{^{''}} + (y^{^{'}})^{3} = 2 x y^{^{'}}

\frac{d y}{d x} = - \frac{2 x ^{2} + y}{x ^{2} y - x}

What is the limit as x approaches 3-of ln(1/(3-x)) ?
The limit as x approaches 3-of ln(1/(3-x)) is infinity