What is the limit as x approaches pi of ln|cos(x)-4| ?

The limit as x approaches pi of ln|cos(x)-4| is ln(5)

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limit as x approaches pi of ln|cos(x)-4|

x \to π lim (ln ∣ cos (x) - 4 ∣)

ln (5)

Decimal Notation

1.60943 \dots

Solution steps

x \to π lim (ln ∣ cos (x) - 4 ∣)

Plug in the value

x = π

= ln ∣ cos (π) - 4 ∣

Simplify

ln ∣ cos (π) - 4 ∣ : ln (5)

= ln (5)

\int (\frac{( 7 - 2 x )}{x ^{\frac{1}{2}}} + 3 (5 - e^{x} + 2 e^{3})) d x

x^{3} e^{x}

\int (1 - x) cos (2 x) d x

\frac{\partial}{\partial x} (e^{x} x + e^{x} 2 y)

\int \frac{sin ( nπ x )}{nπ} d x

What is the limit as x approaches pi of ln|cos(x)-4| ?
The limit as x approaches pi of ln|cos(x)-4| is ln(5)