The nbsp-function nbsp-f-x-cosec nbsp-x nbsp-is nbsp-discontinuous nbsp-at nbsp-x-n- nbsp-n-FalseTrue

The nbsp;fu...

Question

$The function f (x) = cosec x is discontinuous at x = nπ, n \in Z$ .

False

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True

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f (x) = \{\begin{matrix} 1, & |x| \geq 1 \\ \frac{1}{n^{2}}, & \frac{1}{n} < |x| & < \frac{1}{n - 1}, n = 2, 3, . . . \\ 0, & x = 0 \end{matrix}

x = \pm \frac{1}{n}

The function f (x) = cosec x is discontinuous at x = nπ, n \in Z

f (x) = s i n (x - 1)

g (x) = {cot}^{- 1} [x - 1]

F (x) = f (x) . g (x)

x = 1

f (x)

x = a

g (x)

x = a

f (x) . g (x)

x = a

f (x) = [x]