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Find all points of discontinuity of f, where f is defined by{f

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Find all points of discontinuity of f, where f is defined by $f (x) = {x^{10} - 1 x^{2} if x \leq 1 if x > 1$

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Find all points of discontinuity of f, where f is defined by

f (x) = {x^{10} - 1 x^{2} if x \leq 1 if x > 1

14 mins ago

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Text solutionVerified

Solution:

f (1) = (1)^{10} - 1 = 0

LHL

= x \to 1^{-} lim f (x) = x \to 1^{-} lim x^{10} - 1 = 0

RHL

= x \to 1^{+} lim f (x) = x \to 1^{+} lim x^{2} = 1

LHL

=

RHL

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Question Text	Find all points of discontinuity of f, where f is defined by $f (x) = {x^{10} - 1 x^{2} if x \leq 1 if x > 1$
Answer Type	Text solution:1
Upvotes	150