题目有点不懂
x→∞
lim√(1+sin2/(x-1) )么?
x→∞ 时2/(x-1)→0则sin2/(x-1)→ 2/(x-1)
x→∞
lim√(1+sin2/(x-1) )
=lim√(1+ 2/(x-1))
=lim√((x+1)/(x-1))
=1
题目有点不懂
x→∞
lim√(1+sin2/(x-1) )么?
x→∞ 时2/(x-1)→0则sin2/(x-1)→ 2/(x-1)
x→∞
lim√(1+sin2/(x-1) )
=lim√(1+ 2/(x-1))
=lim√((x+1)/(x-1))
=1