lim x->∞ [(2x+3)/(2x+1)]^(x+1)
=lim x->∞ [1+2/(2x+1)]^(x+1)
=lim x->∞ [1+1/(x+1/2)]^(x+1/2+1/2)
=lim x->∞ [1+1/(x+1/2)]^(x+1/2)*lim x->∞ [1+1/(x+1/2)]^(1/2)
=lim x->∞ [1+1/(x+1/2)]^(x+1/2)*1
=e
一道极限题求解lim x->∞ ((2x+3)/(2x+1))^(x+1)
1个回答
相关问题
-
求解函数极限两道极限题,第一道lim (5+3x/5-2x)²/3x;x→0 第二道lim （x³+1
-
高等数学数列极限题求解lim 1／x³﹙1²＋2²＋.＋x²﹚＝ ³是
-
求解一道求极限题求lim (x^3+y^3)/(x^2+y^2),(x,y)趋近(0,0)
-
帮小弟求解下极限lim((2x+1)^0.5-3)/((x-2)^0.5-2^0.5)x->4lim((x^2+x+1)
-
高数【函数极限】lim (1+1/x)=?x→∞lim(1-3x)∧1/(2x)=?x→0lim[(2x+3)/(2x+
-
求解lim(x趋近0）[（1-cosx) sin2x]/(x^3)的极限.
-
极限lim(x^2+2x+3)/(x-1)
-
高等数学三道求极限题 ⑴lim x→4 ［[√（2x+1）-3]/√x-2］ ⑵lim x→∞［ [(1+2+3+…n)
-
数学极限lim(x→0)((x^3)/(3*x^2-1)) lim(x→+无穷)(√x(x+2)-√(x^2-x+1))
-
极限题lim(1+1/2+1/4+.+1/2^n) n→无穷lim((x^2 -1)/(x^2 +3))^(x^2 +1