lim x->2^(1/2) [1+arcsin(x/2)^2]^(1/2) 极限怎么求

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limx->2^(1/2)[1+arcsin(x/2)^2]^(1/2)极限怎么求limx->2^(1/2)[1+arcsin(x/2)^2]^(1/2)极限怎么求limx->2^(1/2)[1+ar

lim x->2^(1/2) [1+arcsin(x/2)^2]^(1/2) 极限怎么求
lim x->2^(1/2) [1+arcsin(x/2)^2]^(1/2) 极限怎么求

lim x->2^(1/2) [1+arcsin(x/2)^2]^(1/2) 极限怎么求
直接代入就可以了
lim x->2^(1/2) [1+arcsin(x/2)^2]^(1/2)
=(1+π/6)^(1/2)