lim(n->∞)[2^(2n-1)+1]/(4^n-3^n)=?
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lim(n->∞)[2^(2n-1)+1]/(4^n-3^n)=?
=lim[1/2*4^n+1]/[4^n-3^n]
=lim[1/2+1/4^n]/[1-(3/4)^n]
=1/2
=lim[1/2+1/4^n]/[1-(3/4)^n]
=1/2
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