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Mathematics - Limits Question with Solution | TestHub

MathematicsLimitsGeneral ( Limit existence)Medium2 minPYQ_2019
MathematicsMediumsingle choice

For eachxR, letxbe the greatest integer less than or equal tox. Thenlimx0-xx+xsinxxis equal to

Options:

Answer:
C
Solution:

=limx0-x x+xsinxx

=limx0-x-1-xsin-1-xx=-1, x[-1,0)

=limx0--1+xsin1sin-θ=-sinθ

=-sin1.

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

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