The value of limx→∞ x2+2x+32x2+x+53x−23x+2 , is
e1/2
e3/2
e3
none of these
We have,
limx→∞ x2+2x+32x2+x+53x−23x+2=limx→∞ 1+2x+3x22+1x+5x21−2/3x1+2/3x=121=12