What is the value of lim x->0+ |x|/x?

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Multiple Choice

What is the value of lim x->0+ |x|/x?

Explanation:
As x approaches 0 from the right, x is positive, so |x| equals x. The expression |x|/x becomes x/x, which is 1 for all positive x. Therefore the limit from the right is 1. (Note: approaching from the left would give -1, so the two-sided limit does not exist, but the right-hand limit is 1.)

As x approaches 0 from the right, x is positive, so |x| equals x. The expression |x|/x becomes x/x, which is 1 for all positive x. Therefore the limit from the right is 1. (Note: approaching from the left would give -1, so the two-sided limit does not exist, but the right-hand limit is 1.)

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