it starts where it ends
Calculus
Level
2
find the limit of f(x)= | log |x| | at x=0
not defined
infinity
0
none
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1 solution
The absolute value function encompassing the x ensures that the limit will be the same, regardless of whether you approach 0 from the left or the right (negative or positive). The limit of the logarithmic function (natural log or common log) as x approaches 0 is negative infinity. Because the problem asks for the absolute value of this logarithm, the answer is (positive) infinity .
(This is my first solution - please notify me of any errors in how I write this so I may correct myself in future solutions :D)