What is the limit as x approaches pi of ln|cos(x)-9| ?

The limit as x approaches pi of ln|cos(x)-9| is ln(10)

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limit as x approaches pi of ln|cos(x)-9|

x \to π lim (ln ∣ cos (x) - 9 ∣)

ln (10)

Decimal

2.30258 \dots

Solution steps

x \to π lim (ln ∣ cos (x) - 9 ∣)

Plug in the value

x = π

= ln ∣ cos (π) - 9 ∣

Simplify

ln ∣ cos (π) - 9 ∣ : ln (10)

= ln (10)

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What is the limit as x approaches pi of ln|cos(x)-9| ?
The limit as x approaches pi of ln|cos(x)-9| is ln(10)