LimitsHard

Question

If f(x) = |x|sin x, then

Options

A.f(x) = 1
B.f(x) = 1
C.f(x) = 1
D.limit does not exist at x = 0

Solution

f(x) = |0 - h| sin(0 - h)
= hsin(-h)

= e0 = 1
∵ f(x) =f(x) = 1
∴ f(x) = 1

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