Question

Question 28 Suppose f(x) ={ a+bx, x < 1
4, x = 1 and if lim(x-->1) f(x) = f(1) what are possible values of a and b?
b-ax, x > 1 }

Class XI - Limits and Derivatives Page 302

Answer 1

heya
refer to the attachment.
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we know limit only exists when
Left hand limit = Right hand limit

here LHL = RHL = 4. { given
we will use this to solve for the values of a and b

and we finally get
a= 0
b=4

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I hope it will help you
ask me if you will face any problem.