CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
Question

If limxaf(x)=l and limxag(x)=m, then limxa(f(x))g(x)=l m


A

True

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B

False

No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is A

True


If both the limits limxaf(x) and limxag(x) exist finitely, then we can apply the limits independently to them in a limit involving both of them and xa, provided the limit does not become indeterminate or infinite.
This is also true for taking exponents, like f(x)g(x).


flag
Suggest Corrections
thumbs-up
0
mid-banner-image
mid-banner-image
similar_icon
Related Videos
thumbnail
lock
Algebra of Limits
MATHEMATICS
Watch in App