wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

If f(9) = 9, f'(9) = 4, then limx9f(x)3x3 equals

A
2
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
4
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
6
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
0
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is B 4
Given that f(9) = 9, f’(9) = 4

limx9f(x)3x3

On rationalisation we get -

=limx9(f(x)3x3)(x+3x+3)(f(x)+3f(x)+3)

=limx9 f(x)f(9)x9 . 66

=limx9 f(x)f(9)x9

=f(9)

=4


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