What is the limit as x approaches pi of ln|cos(x)-8| ?

The limit as x approaches pi of ln|cos(x)-8| is 2ln(3)

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limit as x approaches pi of ln|cos(x)-8|

x \to π lim (ln ∣ cos (x) - 8 ∣)

2 ln (3)

Decimal

2.19722 \dots

Solution steps

x \to π lim (ln ∣ cos (x) - 8 ∣)

Plug in the value

x = π

= ln ∣ cos (π) - 8 ∣

Simplify

ln ∣ cos (π) - 8 ∣ : 2 ln (3)

= 2 ln (3)

What is the limit as x approaches pi of ln|cos(x)-8| ?
The limit as x approaches pi of ln|cos(x)-8| is 2ln(3)