求lim(1+2x)^(1/根号x)x是趋于0+的,

Question

求lim(1+2x)^(1/根号x)
x是趋于0+的,

Answer 1

lim(1+2x)^(1/根号x)
=lim(1+2x)^[(1/2x)(2x/根号x)]
=e^(2x/根号x)
=e^0
=1