wiz-icon
MyQuestionIcon
MyQuestionIcon
3
You visited us 3 times! Enjoying our articles? Unlock Full Access!
Question

Let f(x)={1+2xa;0x<1ax,1x<2
If limx1f(x) exist then a is

A
1
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
1
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
2
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
2
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct options are
B 1
C 2
f(x)=1+2xafor 0<x<1=ax for 1x<2As the function is continuous at 1 1+2a=a a2a2=0a22a+a2=0a(a2)+1(a2)=0a=1,2
Hence, options 'B' and 'C' are correct.

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Factorisation and Rationalisation
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon