why does lim (x/|x|) = 1

x-> 0+

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- Jul 28th 2009, 06:59 PMricey[SOLVED] limits
why does lim (x/|x|) = 1

x-> 0+ - Jul 28th 2009, 07:09 PMVonNemo19
It does because we are only concerned about the behavior of the graph from the right, IE: (positive values of x)

Note how any positive number divided by the absolute value of that number will always be positve 1.

Since

Then for values greater than 0, we have

Therefore . - Jul 28th 2009, 08:05 PMricey
okay i get it! Thanks so much