The value of f(0), so that the function f(x)=√1+x−3√1+xx is continuous at x=0 is
A
16
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
13
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
12
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
23
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution
The correct option is A16 For continuity of f(x) at x=0, we must have, f(0)=limx→0f(x)=limx→0(√1+x−3√1+xx)=limx→0(1+x)1/2−(1+x)1/3x[00form] =limx→0{12(1+x)1/2−13(1+x)2/3}=12−13=16