What is the limit as x approaches pi of ln|cos(x)-7| ?

The limit as x approaches pi of ln|cos(x)-7| is 3ln(2)

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limit as x approaches pi of ln|cos(x)-7|

x \to π lim (ln ∣ cos (x) - 7 ∣)

3 ln (2)

Decimal Notation

2.07944 \dots

Solution steps

x \to π lim (ln ∣ cos (x) - 7 ∣)

Plug in the value

x = π

= ln ∣ cos (π) - 7 ∣

Simplify

ln ∣ cos (π) - 7 ∣ : 3 ln (2)

= 3 ln (2)

\int_{0}^{\frac{π}{2}} cos^{7} (x) d x

6 y^{^{''}} + 10 y^{^{'}} = 0

\frac{d y}{d t}

n = 5 \sum \infty 0. 9^{2 (n + 1)}

\int \frac{54}{x ^{2} - 81} d x

What is the limit as x approaches pi of ln|cos(x)-7| ?
The limit as x approaches pi of ln|cos(x)-7| is 3ln(2)