Evaluate natural log of 0

Problem

ln(0)

Solution

1. Identify the function and the value to be evaluated, which is the natural logarithm ln(x) at x=0

2. Recall the definition of the natural logarithm, where y=ln(x) is the power to which e must be raised to equal x such that ey=x

3. Analyze the behavior of the function as x approaches 0 from the right, noting that (lim_x→0)(ln(x))=−∞

4. Determine the domain of the natural logarithm function, which is (0,∞) Since 0 is not in the domain, the expression is undefined.

Final Answer

ln(0)=undefined

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