1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

# If limx→∞(√x4−ax3−4x2+bx+3−√x4+3x3+cx2−3x+d)=3, then

A
a=9 and c=3
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
a=2 and c=0
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
a=3 and c=10
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
a=3 and c=10
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution

## The correct option is D a=−3 and c=−10limx→∞√x4−ax3−4x2+bx+3 −√x4+3x3+cx2−3x+d=3 limx→∞−(a+3)x3−(4+c)x2+(b+3)x+3−d√x4−ax3−4x2+bx+3+√x4+3x3+cx2−3x+d=3 As x→∞, for limit to exist, −(a+3)=0⇒a=−3 When a=−3, we have limx→∞−(4+c)x2+(b+3)x+3−d√x4+3x3−4x2+bx+3+√x4+3x3+cx2−3x+d=3 limx→∞−(4+c)+b+3x+3−dx2√1+3x−4x2+bx3+3x4+√1+3x+cx2−3x3+dx4=3 ⇒−(4+c)1+1=3 ⇒c=−10 and a=−3

Suggest Corrections
0
Join BYJU'S Learning Program
Related Videos
Continuity of a Function
MATHEMATICS
Watch in App
Explore more
Join BYJU'S Learning Program