Phrases Previous Year Questions (PYQs) – Continuity

Phrases Previous Year Questions (PYQs) – Continuity

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Test the continuity of the function at x = 2 
f(x)={52−x if x<21 if x=2x−32 if x>2

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Let  ,where [x]denotes the greatest integer

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f(x)=x+|x| is continuous for

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If f:R→R is defined by f(x)={x+2x2+3x+2,ifx∈R−{−1,−2}−1,ifx=−20,ifx=−1 , then f(x) is continuous on the set 

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 is continuous for

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Let g:R→R and h:R→R, be two functions such that h(x)=sgn(g(x)). Then select which of the following is not true?( R denotes the set of all real numbers, sgn stands for signum function)

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If  is a continuous function at x = 0, then the value of k is

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