find the limit of
lim x--->0^+ x/ln(x)
lim x----> inf (1+4/x)^x
since lim lnx = -∞, you have 0/-∞ = 0
Recall that limit (1 + 1/x)^x = e
so this limit is e^4
lim x--->0^+ x/ln(x)
lim x----> inf (1+4/x)^x
Recall that limit (1 + 1/x)^x = e
so this limit is e^4