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Question

If f(x)={2x+b(x<α)x+d(xα)is such that
limxαf(x)=L, then L=

A
2db
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B
bd
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C
d+b
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D
b2d
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Solution

The correct option is D 2db
limh0 f(x)=2(αh)+b=2α+b=L.............(1)

limh0+ f(x)=(α+h)+d=L α=Ld ................(2)
Substituting value of euation (2)in (1), we get
2(Ld)+b=L
L=2db
Hence, option 'A' is correct.

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