Definite Integration

Section: Mathematics
© examsiri.com
Question : 5 of 46
 
Marks: +1, -0
Let f:(0,1)→ℝ be the function defined as f(x)=√n if x∈[‌1∕n+1,‌1∕n) where n∈ℕ. Let g:(0,1)→ℝ be a function such that
∫
2
x
x
√‌1−t∕t‌dt
<g(x)
<2√x
for all x∈(0,1). Then
lim
x→0
f
(x)
g
(x)

[JEE Adv 2023 P1]
Go to Question: