LimitsHard

Question

[x] denotes the greatest integer less than or equal to x. If f(x) = [x] [sin πx] in (-1,1), then f(x) is:

Options

A.continuous at x = 0
B.continuous in (-1, 0)
C.differentiable in (-1,1)
D.none

Solution

f(x) = [x] [sin πx],    x ∈ (-1, 1)
=
f(x) is continuous in (-1, 0)

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