大学高数几个填空题,急求答案。题在放在图里啦,谢谢各位啦。

Question

如题所述

Answer 1

解答：

Answer 2

(1)
f(x) = arcsin[(x-2)/4]
-1≤(x-2)/4≤1
-4≤x-2≤4
-2≤x≤6
定义域=[-2,6]
(2)
lim(n->无穷) √(n+1)/[√n+√(n+2)]
分子分母同时除√n
=lim(n->无穷) √(1+1/n)/[1+√(1+2/n)]
=1/(1+1)
=1/2
(3)
lim(x->无穷) (1/4)^x
=0
(4)
x->1
tan(x-1) 等价于 (x-1)
=>
a=1