Let` f:R rarr R` be defined by `f(x)={({x} if x in Q),(x if x in R-Q):}` If `lim_(x rarr alpha)f(x)` exist then the true set of values of `alpha` is `{k}` denotes the fractional part of `k`

Let f:R rarr R be defined by f(x)={({x} if x in Q),(x if x in R-Q):} If lim_(x rarr alpha)f(x) exist, then the true set of values of alpha is - (where {k} denotes the fractional part of k ) a) (-1, 1) b) (-1, 0) c) ( 0,1 ) d) [0, 1)

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Let f:R rarr R be given by f(x)={5x, if x in Qx^(2)+6,quad if x in R-Q then

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