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Question

Find limx3f(x), where

f(x)={4,ifx>3x+1,ifx<3


Solution

limx3+f(x)=4

Now, limx3f(x)=limx3(x+1)

Put x =3 -h

h=3x

as x3x<3 slightly 

h0+

limx0+(3h+1)=3+1=4

Since, limx3+f(x)=4=limx3f(x)

limx3f(x)=4.


Mathematics
RD Sharma
Standard XI

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