Proof: d/dx(ln x) = 1/x
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This is a "sordid" video. =p
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@Nevin1343 it is because you are looking as what happens when u --> o. ln (1+u)--> 1
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Wow, this proof is amazing!
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at 8:00, why are you able to pull the ln outside of the limit?
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awesomeness
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Thanks! I had problems proving derivate of ln x for myself, but everything is clear after this video. That's really fascinating.
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u r great
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IT ALL MAKES SENSE.
jorelBV 4 months ago 4
@Nevin1343 It's called the composition law for limits, which can be summarised as:
If lim g(x) = L as x approaches a, and if the function f is continious at L, then the limit of the composite function f(g(x)) can be expressed as lim f(g(x)) = f(L) = f(lim g(x)) as x approaches a.
Example: lim ln(x + e) as x -> 0 = ln( lim(x + e) as x -> 0) = ln( 0 + e ) = ln e = 1.
flensdude 2 months ago 2