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L-lim-x-0-x-1-x-

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Question Number 137523 by SOMEDAVONG last updated on 03/Apr/21
L=lim_(x→0) ((x!−1)/x)
L=limx→0x!−1x
Answered by Dwaipayan Shikari last updated on 03/Apr/21
lim_(x→0) ((Γ(x+1)−1)/x)=((1−γx−1)/x)=−γ Γ(x+1)∼1−γx
limx→0Γ(x+1)−1x=1−γx−1x=−γΓ(x+1)∼1−γx

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