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underset( x rarr - 7)( "Lim")( [x]^(2) +...

`underset( x rarr - 7)( "Lim")( [x]^(2) + 15[x]+ 56)/( sin (x + 7 ) sin ( x+ 8 ))`
( where `[**]` denotes greatest integer function )

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Knowledge Check

  • lim_(x rarr 1) [ x-1] where [] denotes the greatest integer function is equal to

    A
    1
    B
    2
    C
    0
    D
    Does not exist
  • If f(x)=[sin^(2) x] ([.] denotes the greatest integer function), then

    A
    f is everywhere continuous
    B
    f is everywhere differerntiable
    C
    f is a constant function
    D
    none of these
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