. lim(x rarr0)(log(e)(1+x))/(e^(x)-1)...

. `lim_(x rarr0)(log_(e)(1+x))/(e^(x)-1)`

. lim(x rarr0)(log(e)(1+x))/(e^(x)-1)
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Evaluate: lim(x rarr 1)(loge x)/(x-1)
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lim(x->0)(sqrt(1+x)-1)/(loge (1+x))
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lim(x rarr0)(1+x)^((1)/(x))=e
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Evaluate lim(x rarr0)(e^((1)/(x))-1)/(e^((1)/(x))+1),x!=0
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Prove that (i)lim(x->0) (a^x-1)/x=loge a (ii) lim(x->0) log(1+x)/x=1
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lim(x rarr0)(e-(1+x)^((1)/(x)))/(x)
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lim(x rarr0)(sin x)/(log(e)(1+x)^((1)/(2)))
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lim(x rarr0)(e^(1/x)-e^(-1/x))/(e^(1/x)+e^(-1/x))
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