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

Find the relations between a and b, so tat the function f defined by:
f(x)={ax+1,bx+3,if x3if x>3
is continuous at x=3.

Open in App
Solution

Given the function f(x) is continuous at x=3.
Then we'll have,
limx3f(x)=limx3+f(x)
or, 3a+1=3b+3
or, 3(ab)=2.
This is the required relation between a,b.

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Adaptive Q9
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon