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Mathematics - Limits Question with Solution | TestHub

MathematicsLimitsGeneral ( Limit existence)Easy2 minPYQ_2019
MathematicsEasysingle choice

Iffx=x-x4,xR,wherexdenotes the greatest integer function, then:

Options:

Answer:
B
Solution:

R.H.L.=limx4+x-x4=4-1=3

L.H.L.=limx4-x-x4=3-0=3

fx=4-1=3

L.H.L.=f4=R.H.L.

Hence, given function is continuous at x=4.

Stream:JEESubject:MathematicsTopic:LimitsSubtopic:General ( Limit existence)
2mℹ️ Source: PYQ_2019

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