To determine
To find: Find the limit limx→2-log5(8x-x4)
Answer
The limit is -∞.
Explanation
Calculation:
We have to find the limit limx→2-log5(8x-x4). Let t=8x-x4.
As x→2-, t=(8x-x4)→ 0, so
limx→2-log5(8x-x4)=limt→0lnt
Since limt→0lnt=-∞, therefore limx→2-log5(8x-x4)=-∞.
Conclusion:
The limit is -∞.