Question

高等数学题？

Answer 1

y=arcsinX的定义域为[-1，1].
此题，y=arcsin√[(X-1)/(X+1)]的定义域为-1≤√[(X-1)/(X+1)]≤1，
则0≤(X-1)/(X+1)≤1，解得：X≥1
即y=arcsin√[(X-1)/(X+1)]的定义域为[1，+∞)

Answer 2

(1)

lim(x->0) (1-cosx)/x^2
=lim(x->0) (1/2)x^2/x^2
=1/2
(2)
lim(x->1) (4x^2-3x-1)(2x^2-3x+1)
=lim(x->1) (4x+1)(x-1)/[(2x-1)(x-1)]
=lim(x->1) (4x+1)/(2x-1)
=5/1
=5