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Question
`lim_(x -> 0) |x|/x` is equal to ______.
Options
1
–1
0
Does not exists
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Solution
`lim_(x -> 0) |x|/x` is equal to does not exists.
Explanation:
R.H.S. = `lim_(x -> 0^+) |x|/x = x/x` = 1
And L.H.S. = `lim_(x -> 0^-) |x|/x = (-x)/x` = –1
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