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

10!+21!+32!+43!+... to is equal to

A
4e
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
3e
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
2e
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
none of these
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is C 2e
ex=1+x+x22!+x33!+...
Multiplying by x on both the sides.
xex=x+x2+x32!+x43!+..
Differentiating with respect to x.
ex+xex=1+2x+3x22!+4x33!+...
Substituting, x=1, we get
2e=1+2+32!+43!+...
Hence the required answer is 2e.

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