Question

5.6题求解数学

Answer 1

(5)
x->0
sinx~ x -(1/6)x^3
----------
lim(x->0) (x-sinx)/(x+sinx)
=lim(x->0) (1/6)x^3/[ -(1/6)x^3 ]
=-1
(6)
let
1/y = 2/x
lim(x->∞)( 1+ 2/x) ^(-x)
=lim(y->∞)( 1+ 1/y) ^)(-2y)
=e^(-2)