MonotonicityMedium

Question

If x ∈ (0, 1) then f(x) = x100 + sin x - 1 is-

Options

A.monotonic increasing
B.monotonic decreasing
C.not monotonic
D.odd function

Solution

f(x) = x100 + sin x - 1
f′(x) = 100x99 + cos x
x ∈ (0 , 1)
so monotonic increasing

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