lim(2x+3/2x+1)^(x+1)
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lim(2x+3/2x+1)^(x+1)lim(2x+3/2x+1)^(x+1)lim(2x+3/2x+1)^(x+1)lim(x趋近于+∞)【[(2x+3)/(2x+1)]^(x+1)】=lim(x
lim(2x+3/2x+1)^(x+1)
lim(2x+3/2x+1)^(x+1)
lim(2x+3/2x+1)^(x+1)
lim(x趋近于+∞)【[(2x+3)/(2x+1)]^(x+1)】
= lim(x趋近于+∞)【[(2x+1+2)/(2x+1)]^(x+1)】
= lim(x趋近于+∞)【[1+ 2/(2x+1)]^(x+1)】
= lim(x趋近于+∞)【[1+ 1/(x+1/2)]^(x+1/2) * [1+ 1/(x+1/2)]^(1/2) 】
= lim(x+1/2趋近于+∞)【[1+ 1/(x+1/2)]^(x+1/2) 】*lim(x+1/2趋近于+∞)【[ [1+ 1/(x+1/2)]^(1/2) 】
= e*1
= e
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