If f : R → R is a function defined by f ( x ) = [ x ] cos ( 2 2 x − 1 ) π , where [ x ] denotes the greatest integer function, then f is

f ( x ) = [ x ] cos ( 2 2 x − 1 ) π = [ x ] cos ( x − 2 1 ) π = [ x ] sin π x is continuous for every real x .

Mathematics - Continuity - Differentiability Question with Solution | TestHub

MathematicsContinuity - DifferentiabilityContinuity- MiscellaneousHard2 minPYQ_2012

MathematicsHardsingle choice

If $f : R \to R$ is a function defined by $f (x) = [x] cos (\frac{2 x - 1}{2}) π$ , where $[x]$ denotes the greatest integer function, then $f$ is

Answer:

Solution:

$f (x) = [x] cos (\frac{2 x - 1}{2}) π = [x] cos (x - \frac{1}{2}) π$ $= [x] sin π x$ is continuous for every real $x$ .

Stream:JEESubject:MathematicsTopic:Continuity - DifferentiabilitySubtopic:Continuity- Miscellaneous

⏱ 2mℹ️ Source: PYQ_2012

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