LimitsHard

Question

Let f(x) = , then

Options

A.f(-π+) = - 1
B.f(-π+) = 1
C.f(x) does not exist
D.f(x) does not exist

Solution

f(x) =
(A) f(-π+) =

(B) f(-π-) =

(C) f(-π+) ≠ f(-π-)
so  f(x) does not exist
(D) for f(x)
LHL =

RHL =

LHL ≠ RHL
so   f(x) does not exist.

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