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Posted by Anonymous on Wednesday, January 25, 2012 at 9:36pm.
use the definition of derivative to prove that lim x->0 [ln(1+x)]/[x] = 1
[ln (u + h) - ln (u)]/h as h-->0= definition of d/du(ln u) = 1/u here u = 1 so 1/1 = 1
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