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COLUMN-I COLUMN-II (A) If a function f(x) = ifk,if{sin3xxif x=0k2, if x=0 is continuous at x = 0, then k is equal to (a) |x| (B) Every continuous function is differentiable (b) True (C) An - Mathematics

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प्रश्न

COLUMN-I COLUMN-II
(A) If a function
f(x) = `{((sin3x)/x, "if"  x = 0),("k"/2",",  "if"  x = 0):}`
is continuous at x = 0, then k is equal to
(a) |x|
(B) Every continuous function is differentiable (b) True
(C) An example of a function which is continuous
everywhere but not differentiable at exactly one point
(c) 6
(D) The identity function i.e. f (x) = x ∀ ∈x R
is a continuous function
(d) False
जोड़ियाँ मिलाइएँ

उत्तर

COLUMN-I COLUMN-II
(A) If a function
f(x) = `{((sin3x)/x, "if"  x = 0),("k"/2",",  "if"  x = 0):}`
is continuous at x = 0, then k is equal to
(c) 6
(B) Every continuous function is differentiable (d) False
(C) An example of a function which is continuous
everywhere but not differentiable at exactly one point
(a) |x|
(D) The identity function i.e. f (x) = x ∀ ∈x R
is a continuous function
(b) True
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अध्याय 5: Continuity And Differentiability - Solved Examples [पृष्ठ १०५]

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एनसीईआरटी एक्झांप्लर Mathematics [English] Class 12
अध्याय 5 Continuity And Differentiability
Solved Examples | Q 36 | पृष्ठ १०५

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