Advanced Calc 1: Homework 4 & 5 Solutions - 3.5 # 7 a....

3.5 # 7
a. Prove that f ( x ) =
√
x , x ∈ [0 , 1] is continuous, i.e. if { x
n
} is a sequence in [0 , 1], and
x
n
→ x
0
in [0 , 1] as n → ∞ , then
√
x
n
→
√
x
0
.