To determine
To find: Find the limit limx→0+ln(sinx)
Answer
The limit is -∞.
Explanation
Calculation:
We have to find the limit limx→0+ln(sinx). Let t=sinx
As x→0+, t=sinx→ 0+, so
limx→0+ln(sinx)=limt→0+lnt
Since limt→0+lnt=-∞, therefore limx→0+ln(sinx)=-∞.
Conclusion:
The limit is -∞.