Provide all detailed steps to find the limit of the following functions
A) lim (tan x)^(cos x) as x approaches pi/2
B)lim x^(ln2/1+ln x) as x approaches infinity
C) lim (e^(4x)-1-4x/x^2) as x approaches infinity
D) lim e^(2x)-e^(-2x)/ln (x+1) as x approaches infinity to
E)lim( tan 4x)/(x+sin 2x) as x approaches 0
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