/ _______\ | _______ x*\/ 1 - x | lim |\/ 1 + x - -----------| x->0+\ 3 /
Limit(sqrt(1 + x) - x*sqrt(1 - x)/3, x, 0)
/ _______\ | _______ x*\/ 1 - x | lim |\/ 1 + x - -----------| x->0+\ 3 /
1
= 1
/ _______\ | _______ x*\/ 1 - x | lim |\/ 1 + x - -----------| x->0-\ 3 /
1
= 1
= 1